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314390856 = 233132934747
BaseRepresentation
bin10010101111010…
…011100101001000
3210220120201011210
4102233103211020
51120441001411
651110253120
710535164263
oct2257234510
9726521153
10314390856
1115151355a
12893571a0
13501990c0
142da7bcda
151c902ca6
hex12bd3948

314390856 has 64 divisors (see below), whose sum is σ = 875649600. Its totient is φ = 93397248.

The previous prime is 314390851. The next prime is 314390893. The reversal of 314390856 is 658093413.

314390856 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3143908562 = 197683220672825472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (314390851) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8326 + ... + 26421.

It is an arithmetic number, because the mean of its divisors is an integer number (13682025).

Almost surely, 2314390856 is an apocalyptic number.

It is an amenable number.

314390856 is an abundant number, since it is smaller than the sum of its proper divisors (561258744).

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

314390856 is a wasteful number, since it uses less digits than its factorization.

314390856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34798 (or 34794 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 314390856 is about 17731.0703568623. The cubic root of 314390856 is about 679.9703389600.

It can be divided in two parts, 314 and 390856, that added together give a triangular number (391170 = T884).

The spelling of 314390856 in words is "three hundred fourteen million, three hundred ninety thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 13 24 26 29 39 52 58 78 87 104 116 156 174 232 312 348 377 696 754 1131 1508 2262 3016 4524 9048 34747 69494 104241 138988 208482 277976 416964 451711 833928 903422 1007663 1355133 1806844 2015326 2710266 3022989 3613688 4030652 5420532 6045978 8061304 10841064 12091956 13099619 24183912 26199238 39298857 52398476 78597714 104796952 157195428 314390856