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316114656 = 253111323027
BaseRepresentation
bin10010110101111…
…000011011100000
3211000211021210020
4102311320123200
51121411132111
651211233440
710555634034
oct2265703340
9730737706
10316114656
11152490690
1289a48880
13506508c0
142ddaa1c4
151cb43906
hex12d786e0

316114656 has 96 divisors (see below), whose sum is σ = 974913408. Its totient is φ = 88419840.

The previous prime is 316114651. The next prime is 316114693. The reversal of 316114656 is 656411613.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (316114651) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2215 + ... + 25241.

It is an arithmetic number, because the mean of its divisors is an integer number (10155348).

Almost surely, 2316114656 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 316114656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487456704).

316114656 is an abundant number, since it is smaller than the sum of its proper divisors (658798752).

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

316114656 is a wasteful number, since it uses less digits than its factorization.

316114656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23064 (or 23056 counting only the distinct ones).

The product of its digits is 12960, while the sum is 33.

The square root of 316114656 is about 17779.6134941117. The cubic root of 316114656 is about 681.2108299898.

The spelling of 316114656 in words is "three hundred sixteen million, one hundred fourteen thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 66 78 88 96 104 132 143 156 176 208 264 286 312 352 416 429 528 572 624 858 1056 1144 1248 1716 2288 3432 4576 6864 13728 23027 46054 69081 92108 138162 184216 253297 276324 299351 368432 506594 552648 598702 736864 759891 898053 1013188 1105296 1197404 1519782 1796106 2026376 2210592 2394808 3039564 3292861 3592212 4052752 4789616 6079128 6585722 7184424 8105504 9579232 9878583 12158256 13171444 14368848 19757166 24316512 26342888 28737696 39514332 52685776 79028664 105371552 158057328 316114656