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314879928 = 233112335119
BaseRepresentation
bin10010110001001…
…010111110111000
3210221111120001120
4102301022332320
51121102124203
651124545240
710542302166
oct2261127670
9727446046
10314879928
11151817a50
1289552220
135030a8ac
142db68236
151c99cb53
hex12c4afb8

314879928 has 64 divisors (see below), whose sum is σ = 862617600. Its totient is φ = 94990080.

The previous prime is 314879911. The next prime is 314879993. The reversal of 314879928 is 829978413.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58953 + ... + 64071.

It is an arithmetic number, because the mean of its divisors is an integer number (13478400).

Almost surely, 2314879928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314879928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431308800).

314879928 is an abundant number, since it is smaller than the sum of its proper divisors (547737672).

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

314879928 is a wasteful number, since it uses less digits than its factorization.

314879928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5372 (or 5368 counting only the distinct ones).

The product of its digits is 870912, while the sum is 51.

The square root of 314879928 is about 17744.8563814983. The cubic root of 314879928 is about 680.3227475978.

The spelling of 314879928 in words is "three hundred fourteen million, eight hundred seventy-nine thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 233 264 466 699 932 1398 1864 2563 2796 5119 5126 5592 7689 10238 10252 15357 15378 20476 20504 30714 30756 40952 56309 61428 61512 112618 122856 168927 225236 337854 450472 675708 1192727 1351416 2385454 3578181 4770908 7156362 9541816 13119997 14312724 26239994 28625448 39359991 52479988 78719982 104959976 157439964 314879928