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316130368 = 2617377853
BaseRepresentation
bin10010110101111…
…100010001000000
3211000212002100011
4102311330101000
51121412132433
651211434304
710556030611
oct2265742100
9730762304
10316130368
111524a1474
1289a55994
1350657ab8
142ddb1c08
151cb483cd
hex12d7c440

316130368 has 56 divisors (see below), whose sum is σ = 682261272. Its totient is φ = 144728064.

The previous prime is 316130357. The next prime is 316130371. The reversal of 316130368 is 863031613.

It can be written as a sum of positive squares in 4 ways, for example, as 59105344 + 257025024 = 7688^2 + 16032^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36330 + ... + 44182.

It is an arithmetic number, because the mean of its divisors is an integer number (12183237).

Almost surely, 2316130368 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 316130368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341130636).

316130368 is an abundant number, since it is smaller than the sum of its proper divisors (366130904).

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

316130368 is a wasteful number, since it uses less digits than its factorization.

316130368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7919 (or 7909 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 31.

The square root of 316130368 is about 17780.0553429960. The cubic root of 316130368 is about 681.2221159869. Note that the first 3 decimals are identical.

The spelling of 316130368 in words is "three hundred sixteen million, one hundred thirty thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 17 32 34 37 64 68 74 136 148 272 296 544 592 629 1088 1184 1258 2368 2516 5032 7853 10064 15706 20128 31412 40256 62824 125648 133501 251296 267002 290561 502592 534004 581122 1068008 1162244 2136016 2324488 4272032 4648976 4939537 8544064 9297952 9879074 18595904 19758148 39516296 79032592 158065184 316130368