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314345856 = 2731174419
BaseRepresentation
bin10010101111001…
…000100110000000
3210220111102110010
4102233020212000
51120433031411
651105304520
710534616136
oct2257104600
9726442403
10314345856
11151492770
1289335140
1350181786
142da69756
151c8e47a6
hex12bc8980

314345856 has 64 divisors (see below), whose sum is σ = 910900800. Its totient is φ = 95255040.

The previous prime is 314345851. The next prime is 314345869. The reversal of 314345856 is 658543413.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314345851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32986 + ... + 41433.

It is an arithmetic number, because the mean of its divisors is an integer number (14232825).

Almost surely, 2314345856 is an apocalyptic number.

It is an amenable number.

314345856 is an abundant number, since it is smaller than the sum of its proper divisors (596554944).

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

314345856 is a wasteful number, since it uses less digits than its factorization.

314345856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74447 (or 74435 counting only the distinct ones).

The product of its digits is 172800, while the sum is 39.

The square root of 314345856 is about 17729.8013525251. The cubic root of 314345856 is about 679.9378951355.

The spelling of 314345856 in words is "three hundred fourteen million, three hundred forty-five thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 528 704 1056 1408 2112 4224 74419 148838 223257 297676 446514 595352 818609 893028 1190704 1637218 1786056 2381408 2455827 3274436 3572112 4762816 4911654 6548872 7144224 9525632 9823308 13097744 14288448 19646616 26195488 28576896 39293232 52390976 78586464 104781952 157172928 314345856