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314442936 = 233223189881
BaseRepresentation
bin10010101111100…
…000010010111000
3210220200100121200
4102233200102320
51120444133221
651111334200
710535502153
oct2257402270
9726610550
10314442936
111515496a5
1289381360
13501b6a12
142da92c9a
151c913426
hex12be04b8

314442936 has 48 divisors (see below), whose sum is σ = 888647760. Its totient is φ = 100256640.

The previous prime is 314442907. The next prime is 314442941. The reversal of 314442936 is 639244413.

It is a happy number.

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 self number, because there is not a number n which added to its sum of digits gives 314442936.

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 11 ways as a sum of consecutive naturals, for example, 93285 + ... + 96596.

It is an arithmetic number, because the mean of its divisors is an integer number (18513495).

Almost surely, 2314442936 is an apocalyptic number.

314442936 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

314442936 is an abundant number, since it is smaller than the sum of its proper divisors (574204824).

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

314442936 is a wasteful number, since it uses less digits than its factorization.

314442936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189916 (or 189909 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 314442936 is about 17732.5389045111. The cubic root of 314442936 is about 680.0078834149.

The spelling of 314442936 in words is "three hundred fourteen million, four hundred forty-two thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 207 276 414 552 828 1656 189881 379762 569643 759524 1139286 1519048 1708929 2278572 3417858 4367263 4557144 6835716 8734526 13101789 13671432 17469052 26203578 34938104 39305367 52407156 78610734 104814312 157221468 314442936