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# 300 (number)

(Redirected from Three hundred)

Three hundred is the natural number following two hundred ninety-nine and preceding three hundred one.

 Cardinal Three hundred Ordinal 300th Factorization $2^2 \cdot 3 \cdot 5^2$ Roman numeral CCC Binary 100101100 Hexadecimal 12C Hebrew ש (Shin)

## Mathematical Properties

It is a triangular number and the sum of a twin prime (149 + 151), as well as the sum of ten consecutive primes (13 + 17 + 19 + 23 + 29 + 31 + 37 + 41 + 43 + 47). It is a Harshad number.

## Other fields

Three hundred is

For the year, see 300.

Three hundred and one CCCI 301 = 7·43, is the sum of three consecutive primes (97 + 101 + 103).

It's also HTTP status code indicating the content has been moved and the change is permanent

Further, it's the area code for telephone numbers in the United States State of Maryland. It is overlaid by area code 240. It touches the 202 area code of Washington, DC, the 717, 724, 814, and 878 area codes in the Commonwealth of Pennsylvania, as well as the 540, 571, 703, 751 and 804 area codes in the Commonwealth of Virginia. Other area codes in Maryland are 227, 410, 443, and 667.

For the year, see AD 301.

Three hundred and two CCCII 302 = 2·151, nontotient, also telephone area code for Delaware, also HTTP status code indicating the content has been moved

Three hundred and three CCCIII 303 = 3·101, also telephone area code for parts of Colorado, also a proposed HTTP status code

Three hundred and four CCCIV 304 = 2^4·19, sum of six consecutive primes (41 + 43 + 47 + 53 + 59 + 61), sum of eight consecutive primes (23 + 29 + 31 + 37 + 41 + 43 + 47 + 53), primitive semiperfect number, untouchable number, nontotient, also telephone area code for West Virginia, also HTTP code indicated the content has not been modified

Three hundred and five CCCV 305 = 5·61, also telephone area code for parts of Florida

Three hundred and six CCCVI 306 = 2·3^2·17, sum of four consecutive primes (71 + 73 + 79 + 83), pronic number, Harshad number, untouchable number, also telephone area code for Saskatchewan

Three hundred and seven CCCVII 307, prime number, also telephone area code for Wyoming

Three hundred and eight CCCVIII 308 = 2^2·7·11, nontotient, Harshad number

Three hundred and nine CCCIX 309 = 3·103

Three hundred and ten CCCX 310 = 2·5·31, sphenic number, noncototient, self number

Three hundred and eleven has its own article.

Three hundred and twelve CCCXII 312 = 2^3·3·13, Harshad number, self number

Three hundred and thirteen CCCXIII 313, prime number, palindromic prime, centered square number, also telephone area code for Detroit, Michigan

Three hundred fourteen CCCXIV 314 = 2·157, nontotient

Three hundred fifteen CCCXV 315 = 3^2·5·7, Harshad number

Three hundred sixteen CCCXVI 316 = 2^2·79, centered triangular number, centered heptagonal number

Three hundred seventeen CCCXVII 317, prime number, strictly non-palindromic number

Three hundred eighteen CCCXVIII 318 = 2·3·53, sphenic number, nontotient

Three hundred nineteen CCCXIX 319 = 11·29, sum of three consecutive primes (103 + 107 + 109), Smith number

Three hundred twenty CCCXX 320 = 2^6·5, Harshad number

Three hundred twenty one CCCXXI 321 = 3·107

Three hundred twenty two CCCXXII 322 = 2·7·23, sphenic number, nontotient, Harshad number, untouchable number

Three hundred twenty three CCCXXIII 323 = 17·19, sum of nine consecutive primes (19 + 23 + 29 + 31 + 37 + 41 + 43 + 47 + 53), Motzkin number, self number

Three hundred twenty four CCCXXIV 324 = 2^2·3^4 = 18^2, sum of four consecutive primes (73 + 79 + 83 + 89), Harshad number, untouchable number

Three hundred twenty five CCCXXV 325 = 5^2·13, triangular number, hexagonal number, nonagonal number, centered nonagonal number

Three hundred twenty six CCCXXVI 326 = 2·163, nontotient, noncototient, untouchable number

Three hundred twenty seven CCCXXVII 327 = 3·109

Three hundred and twenty eight CCCXXVIII 328 = 2^3·41, sum of the first fifteen primes

Three hundred twenty nine CCCXXIX 329 = 7·47, sum of three consecutive primes (107 + 109 + 113), highly cototient number

Three hundred and thirty CCCXXX 330 = 2·3·5·11, sum of six consecutive primes (43 + 47 + 53 + 59 + 61 + 67), Harshad number, divisible by the number of primes below it, also the number of dimples on a British golf ball

Three hundred thirty one CCCXXXI 331, prime number, cuban prime, sum of five consecutive primes (59 + 61 + 67 + 71 + 73), centered pentagonal number, centered hexagonal number, Mertens function returns 0

Three hundred thirty two CCCXXXII 332 = 2^2·83, Mertens function returns 0

Three hundred thirty three CCCXXXIII 333 = 3^2·37, Mertens function returns 0, Harshad number

Three hundred thirty four CCCXXXIV 334 = 2·167, nontotient, self number

Three hundred thirty five CCCXXXV 335 = 5·67, divisible by the number of primes below it

Three hundred and thirty six CCCXXXVI 336 = 2^4·3·7, Harshad number, untouchable number, also the number of dimples on an American golf ball

Three hundred thirty seven CCCXXXVII 337, prime number, permutable prime with 373 and 733, star number

Three hundred thirty eight CCCXXXVIII 338 = 2·13^2, nontotient

Three hundred thirty nine CCCXXXIX 339 = 3·113

Three hundred forty CCCXL 340 = 2^2·5·17, sum of eight consecutive primes (29 + 31 + 37 + 41 + 43 + 47 + 53 + 59), sum of ten consecutive primes (17 + 19 + 23 + 29 + 31 + 37 + 41 + 43 + 47 + 53), sum of the first four powers of 4 (4^1 + 4^2 + 4^3 + 4^4), divisible by the number of primes below it, nontotient, noncototient

Three hundred forty one CCCXLI 341 = 11·31, sum of seven consecutive primes (37 + 41 + 43 + 47 + 53 + 59 + 61), octagonal number, centered cube number, super-Poulet number

Three hundred forty two CCCXLII 342 = 2·3^2·19, pronic number, Harshad number, untouchable number

Three hundred forty three CCCXLIII 343 = 7^3, nice Friedman number since 343 = (3 + 4)^3

Three hundred forty four CCCXLIV 344 = 2^3·43, octahedral number, noncototient

Three hundred forty five CCCXLV 345 = 3·5·23, sphenic number, self number

Three hundred forty six CCCXLVI 346 = 2·173, Smith number, noncototient

Three hundred forty seven CCCXLVII 347, prime number, safe prime, Friedman number since 347 = 7^3 + 4, strictly non-palindromic number

Three hundred forty eight CCCXLVIII 348 = 2^2·3·29, sum of four consecutive primes (79 + 83 + 89 + 97)

Three hundred forty nine CCCXLIX 349, prime number, sum of three consecutive primes (109 + 113 + 127)

Three hundred fifty CCCL 350 = 2·5^2·7, primitive semiperfect number, divisible by the number of primes below it, nontotient

Three hundred fifty one CCCLI 351 = 3^3·13, triangular number, sum of five consecutive primes (61 + 67 + 71 + 73 + 79), Harshad number

Three hundred fifty two CCCLII 352 = 2^5·11

The number of n-Queens Problem solutions for n = 9.

Three hundred fifty three CCCLIII 353, prime number, palindromic prime, Mertens function returns 0

Three hundred fifty four CCCLIV 354 = 2·3·59, sphenic number, nontotient, also SMTP code meaning start of mail input

Three hundred fifty five CCCLV 355 = 5·71, Smith number, Mertens function returns 0, divisible by the number of primes below it

Three hundred fifty six CCCLVI 356 = 2^2·89, Mertens function returns 0, self number

Three hundred fifty seven CCCLVII 357 = 3·7·17, sphenic number

Three hundred fifty eight CCCLVIII 358 = 2·179, sum of six consecutive primes (47 + 53 + 59 + 61 + 67 + 71), Mertens function returns 0

Three hundred fifty nine CCCLIX 359, prime number, safe prime, strictly non-palindromic number

Three hundred and sixty now has its own article.

Three hundred sixty one CCCLXI 361 = 19^2, centered triangular number, centered octagonal number, centered decagonal number, also the number of positions on a standard 19 x 19 Go board

Three hundred sixty two CCCLXII 362 = 2·181, Mertens function returns 0, nontotient, noncototient

Three hundred sixty three CCCLXIII 363 = 3·11^2, sum of nine consecutive primes (23 + 29 + 31 + 37 + 41 + 43 + 47 + 53 + 59), Mertens function returns 0

Three hundred sixty four CCCLXIV 364 = 2^2·7·13, tetrahedral number, Mertens function returns 0, nontotient, Harshad number. It is a repdigit in base 3 (111111), base 9 (444), base 25 (EE), base 27 (DD), base 51 (77) and base 90 (44). The total number of gifts received in the song "The Twelve Days of Christmas".

Three hundred sixty five CCCLXV 365 = 5·73 = 10^2 + 11^2 + 12^2 = 13^2 + 14^2, centered square number, the approximate number of solar days in a tropical year. Several varieties of calendar have resulted from attempts to divide the 29.5-day lunar month and traditional 7-day week into the 365.25 day year.

Three hundred sixty six CCCLXVI 366 = 2·3·61, sphenic number, Mertens function returns 0, noncototient. Also, the number of days in a leap year; It's 26-gonal and 123-gonal.

Three hundred sixty seven CCCLXVII 367, prime number, self number, strictly non-palindromic number

Three hundred sixty eight CCCLXVIII 368 = 2^4·23

Three hundred sixty nine CCCLXIX is the magic constant of nxn magic square and n-Queens Problem for n = 9; there are 369 free polyominoes of order 8.

Three hundred seventy CCCLXX 370 = 2·5·37, sphenic number, sum of four consecutive primes (83 + 89 + 97 + 101), nontotient, Harshad number

Three hundred seventy one CCCLXXI 371 = 7·53, sum of three consecutive primes (113 + 127 + 131), sum of seven consecutive primes (41 + 43 + 47 + 53 + 59 + 61 + 67)

Three hundred seventy two CCCLXXII 372 = 2^2·3·31, sum of eight consecutive primes (31 + 37 + 41 + 43 + 47 + 53 + 59 + 61), Harshad number, noncototient, untouchable number

Three hundred seventy three CCCLXXIII 373, prime number, permutable prime with 337 and 733, palindromic prime, sum of five consecutive primes (67 + 71 + 73 + 79 + 83)

Three hundred seventy four CCCLXXIV 374 = 2·11·17, sphenic number, nontotient

Three hundred seventy five CCCLXXV 375 = 3·5^3, Harshad number, also spur routes of Interstate 75

Three hundred seventy six CCCLXXVI 376 = 2^3·47, 1-automorphic number, nontotient

Three hundred seventy seven CCCLXXVII 377 = 13·29, Fibonacci number, sum of the squares of the first six primes

Three hundred seventy eight CCCLXXVIII 378 = 2·3^3·7, triangular number, hexagonal number, Smith number, Harshad number, self number

Three hundred seventy nine CCCLXXIX 379, prime number

Three hundred eighty CCCLXXX 380 = 2^2·5·19, pronic number

Three hundred and eighty one CCCLXXXI 381 = 3·127, sum of the first sixteen primes

Three hundred eighty two CCCLXXXII 382 = 2·191, sum of ten consecutive primes (19 + 23 + 29 + 31 + 37 + 41 + 43 + 47 + 53 + 59), Smith number

Three hundred eighty three CCCLXXXIII 383, prime number, safe prime, Woodall prime, palindromic prime

Three hundred eighty four CCCLXXXIV 384 = 2^7·3, sum of a twin prime (191 + 193), sum of six consecutive primes (53 + 59 + 61 + 67 + 71 + 73), double factorial of 8

Three hundred eighty five CCCLXXXV 385 = 5·7·11, sphenic number, square pyramidal number

Three hundred eighty six CCCLXXXVI 386 = 2·193, nontotient, noncototient, nonagonal number, centered heptagonal number, also shorthand for the Intel 80386 microprocessor chip

Three hundred eighty seven CCCLXXXVII 387 = 3^2·43, also shorthand for the Intel 80387, math coprocessor chip to the 386

Three hundred eighty eight CCCLXXXVIII 388 = 2^2·97

Three hundred eighty nine CCCLXXXIX 389, prime number, highly cototient number, self number, strictly non-palindromic number

Three hundred ninety CCCXC 390 = 2·3·5·13, sum of four consecutive primes (89 + 97 + 101 + 103), nontotient

Three hundred ninety one CCCXCI 391 = 17·23, Smith number, centered pentagonal number

Three hundred ninety two CCCXCII 392 = 2^3·7^2, Harshad number

Three hundred ninety three CCCXCIII 393 = 3·131, Mertens function returns 0

Three hundred ninety four CCCXCIV 394 = 2·197, nontotient, noncototient

Three hundred ninety five CCCXCV 395 = 5·79, sum of three consecutive primes (127 + 131 + 137), sum of five consecutive primes (71 + 73 + 79 + 83 + 89)

Three hundred ninety six CCCXCVI 396 = 2^2·3^2·11, sum of a twin prime (197 + 199), Harshad number

Three hundred ninety seven CCCXCVII 397, prime number, cuban prime, centered hexagonal number

Three hundred ninety eight CCCXCVIII 398 = 2·199, nontotient

Three hundred ninety nine CCCXCIX 399 = 3·7·19, sphenic number, Harshad number

03-10-2013 05:06:04