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314631864 = 2334485543
BaseRepresentation
bin10010110000001…
…110011010111000
3210221000221210000
4102300032122320
51121021204424
651115353000
710540220031
oct2260163270
9727027700
10314631864
11151668638
1289452760
1350251a01
142db01a88
151c94e3c9
hex12c0e6b8

314631864 has 40 divisors (see below), whose sum is σ = 881262360. Its totient is φ = 104877072.

The previous prime is 314631859. The next prime is 314631893. The reversal of 314631864 is 468136413.

It is a happy number.

314631864 is a `hidden beast` number, since 3 + 14 + 631 + 8 + 6 + 4 = 666.

It is a super-2 number, since 2×3146318642 = 197986419688228992, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 242124 + ... + 243419.

It is an arithmetic number, because the mean of its divisors is an integer number (22031559).

Almost surely, 2314631864 is an apocalyptic number.

It is an amenable number.

314631864 is an abundant number, since it is smaller than the sum of its proper divisors (566630496).

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

314631864 is a wasteful number, since it uses less digits than its factorization.

314631864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485561 (or 485548 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 314631864 is about 17737.8652605098. The cubic root of 314631864 is about 680.1440467619.

The spelling of 314631864 in words is "three hundred fourteen million, six hundred thirty-one thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 485543 971086 1456629 1942172 2913258 3884344 4369887 5826516 8739774 11653032 13109661 17479548 26219322 34959096 39328983 52438644 78657966 104877288 157315932 314631864