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314445696 = 2732335603
BaseRepresentation
bin10010101111100…
…000111110000000
3210220200111101220
4102233200332000
51120444230241
651111355040
710535513205
oct2257407600
9726614356
10314445696
11151550784
1289382a80
13501b8056
142da93cac
151c914166
hex12be0f80

314445696 has 64 divisors (see below), whose sum is σ = 871585920. Its totient is φ = 100255232.

The previous prime is 314445683. The next prime is 314445701. The reversal of 314445696 is 696544413.

It is a happy number.

314445696 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 8970 + ... + 26633.

It is an arithmetic number, because the mean of its divisors is an integer number (13618530).

Almost surely, 2314445696 is an apocalyptic number.

It is an amenable number.

314445696 is an abundant number, since it is smaller than the sum of its proper divisors (557140224).

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

314445696 is a wasteful number, since it uses less digits than its factorization.

314445696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35643 (or 35631 counting only the distinct ones).

The product of its digits is 311040, while the sum is 42.

The square root of 314445696 is about 17732.6167273756. The cubic root of 314445696 is about 680.0098729824.

The spelling of 314445696 in words is "three hundred fourteen million, four hundred forty-five thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 276 368 384 552 736 1104 1472 2208 2944 4416 8832 35603 71206 106809 142412 213618 284824 427236 569648 818869 854472 1139296 1637738 1708944 2278592 2456607 3275476 3417888 4557184 4913214 6550952 6835776 9826428 13101904 13671552 19652856 26203808 39305712 52407616 78611424 104815232 157222848 314445696