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315114108 = 223171977841
BaseRepresentation
bin10010110010000…
…100001001111100
3210221221110021220
4102302010021330
51121132122413
651133553340
710544266011
oct2262041174
9727843256
10315114108
11151967991
1289645850
135039036a
142dbc9708
151c9e7223
hex12c8427c

315114108 has 48 divisors (see below), whose sum is σ = 782568864. Its totient is φ = 98344960.

The previous prime is 315114083. The next prime is 315114113. The reversal of 315114108 is 801411513.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36268 + ... + 44108.

It is an arithmetic number, because the mean of its divisors is an integer number (16303518).

Almost surely, 2315114108 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 315114108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391284432).

315114108 is an abundant number, since it is smaller than the sum of its proper divisors (467454756).

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

315114108 is a wasteful number, since it uses less digits than its factorization.

315114108 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8062 (or 8060 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 24.

The square root of 315114108 is about 17751.4536869520. The cubic root of 315114108 is about 680.4913605490.

The spelling of 315114108 in words is "three hundred fifteen million, one hundred fourteen thousand, one hundred eight".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 197 204 394 591 788 1182 2364 3349 6698 7841 10047 13396 15682 20094 23523 31364 40188 47046 94092 133297 266594 399891 533188 799782 1544677 1599564 3089354 4634031 6178708 9268062 18536124 26259509 52519018 78778527 105038036 157557054 315114108