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313471296 = 2634173557
BaseRepresentation
bin10010101011110…
…011000101000000
3210211211222210000
4102223303011000
51120222040141
651034440000
710524314325
oct2253630500
9724758700
10313471296
11150a45696
1288b93000
134cc36698
142d8bcb4c
151c7c05b6
hex12af3140

313471296 has 140 divisors (see below), whose sum is σ = 984164148. Its totient is φ = 98316288.

The previous prime is 313471283. The next prime is 313471303. The reversal of 313471296 is 692174313.

It can be written as a sum of positive squares in 2 ways, for example, as 136048896 + 177422400 = 11664^2 + 13320^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 313471296.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 86350 + ... + 89906.

Almost surely, 2313471296 is an apocalyptic number.

313471296 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313471296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492082074).

313471296 is an abundant number, since it is smaller than the sum of its proper divisors (670692852).

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

313471296 is a wasteful number, since it uses less digits than its factorization.

313471296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3598 (or 3579 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 313471296 is about 17705.1206152345. The cubic root of 313471296 is about 679.3067444511.

The spelling of 313471296 in words is "three hundred thirteen million, four hundred seventy-one thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 81 96 102 108 136 144 153 162 192 204 216 272 288 306 324 408 432 459 544 576 612 648 816 864 918 1088 1224 1296 1377 1632 1728 1836 2448 2592 2754 3264 3557 3672 4896 5184 5508 7114 7344 9792 10671 11016 14228 14688 21342 22032 28456 29376 32013 42684 44064 56912 60469 64026 85368 88128 96039 113824 120938 128052 170736 181407 192078 227648 241876 256104 288117 341472 362814 384156 483752 512208 544221 576234 682944 725628 768312 967504 1024416 1088442 1152468 1451256 1536624 1632663 1935008 2048832 2176884 2304936 2902512 3073248 3265326 3870016 4353768 4609872 4897989 5805024 6146496 6530652 8707536 9219744 9795978 11610048 13061304 17415072 18439488 19591956 26122608 34830144 39183912 52245216 78367824 104490432 156735648 313471296