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315257376 = 25372292311
BaseRepresentation
bin10010110010100…
…111001000100000
3210222012201211010
4102302213020200
51121201214001
651141020520
710545433500
oct2262471040
9728181733
10315257376
11151a55595
12896b4740
1350410635
142dc25a00
151ca248d6
hex12ca7220

315257376 has 144 divisors (see below), whose sum is σ = 996287040. Its totient is φ = 86929920.

The previous prime is 315257363. The next prime is 315257399. The reversal of 315257376 is 673752513.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 135261 + ... + 137571.

It is an arithmetic number, because the mean of its divisors is an integer number (6918660).

Almost surely, 2315257376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 315257376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498143520).

315257376 is an abundant number, since it is smaller than the sum of its proper divisors (681029664).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

315257376 is a wasteful number, since it uses less digits than its factorization.

315257376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2367 (or 2352 counting only the distinct ones).

The product of its digits is 132300, while the sum is 39.

The square root of 315257376 is about 17755.4886161998. The cubic root of 315257376 is about 680.5944743760.

The spelling of 315257376 in words is "three hundred fifteen million, two hundred fifty-seven thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 32 42 48 49 56 58 84 87 96 98 112 116 147 168 174 196 203 224 232 294 336 348 392 406 464 588 609 672 696 784 812 928 1176 1218 1392 1421 1568 1624 2311 2352 2436 2784 2842 3248 4263 4622 4704 4872 5684 6496 6933 8526 9244 9744 11368 13866 16177 17052 18488 19488 22736 27732 32354 34104 36976 45472 48531 55464 64708 67019 68208 73952 97062 110928 113239 129416 134038 136416 194124 201057 221856 226478 258832 268076 339717 388248 402114 452956 469133 517664 536152 679434 776496 804228 905912 938266 1072304 1358868 1407399 1552992 1608456 1811824 1876532 2144608 2717736 2814798 3216912 3283931 3623648 3753064 5435472 5629596 6433824 6567862 7506128 9851793 10870944 11259192 13135724 15012256 19703586 22518384 26271448 39407172 45036768 52542896 78814344 105085792 157628688 315257376