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314312985 = 32572114729
BaseRepresentation
bin10010101111000…
…000100100011001
3210220102202100200
4102233000210121
51120431003420
651104452413
710534421250
oct2257004431
9726382320
10314312985
1115146aaa8
128931a109
135016c81c
142da5b797
151c8d9b90
hex12bc0919

314312985 has 48 divisors (see below), whose sum is σ = 625722240. Its totient is φ = 142974720.

The previous prime is 314312981. The next prime is 314312987. The reversal of 314312985 is 589213413.

It is not a de Polignac number, because 314312985 - 22 = 314312981 is a prime.

It is a super-2 number, since 2×3143129852 = 197585305079220450, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (314312981) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64101 + ... + 68829.

It is an arithmetic number, because the mean of its divisors is an integer number (13035880).

Almost surely, 2314312985 is an apocalyptic number.

314312985 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

314312985 is a deficient number, since it is larger than the sum of its proper divisors (311409255).

314312985 is a wasteful number, since it uses less digits than its factorization.

314312985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4958 (or 4955 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 314312985 is about 17728.8743297481. The cubic root of 314312985 is about 679.9141940461.

The spelling of 314312985 in words is "three hundred fourteen million, three hundred twelve thousand, nine hundred eighty-five".

Divisors: 1 3 5 7 9 15 21 35 45 63 105 211 315 633 1055 1477 1899 3165 4431 4729 7385 9495 13293 14187 22155 23645 33103 42561 66465 70935 99309 165515 212805 297927 496545 997819 1489635 2993457 4989095 6984733 8980371 14967285 20954199 34923665 44901855 62862597 104770995 314312985