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314407896 = 233111923299
BaseRepresentation
bin10010101111010…
…111101111011000
3210220121120112220
4102233113233120
51120442023041
651110504040
710535265045
oct2257275730
9726546486
10314407896
11151525340
1289365020
13501a3a9a
142da841cc
151c907d66
hex12bd7bd8

314407896 has 96 divisors (see below), whose sum is σ = 905256000. Its totient is φ = 90233280.

The previous prime is 314407883. The next prime is 314407903. The reversal of 314407896 is 698704413.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93655 + ... + 96953.

It is an arithmetic number, because the mean of its divisors is an integer number (9429750).

Almost surely, 2314407896 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 314407896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452628000).

314407896 is an abundant number, since it is smaller than the sum of its proper divisors (590848104).

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

314407896 is a wasteful number, since it uses less digits than its factorization.

314407896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3357 (or 3334 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 314407896 is about 17731.5508627982. The cubic root of 314407896 is about 679.9826235467.

The spelling of 314407896 in words is "three hundred fourteen million, four hundred seven thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 19 22 24 33 38 44 57 66 76 88 114 132 152 209 228 264 361 418 456 627 722 836 1083 1254 1444 1672 2166 2508 2888 3299 3971 4332 5016 6598 7942 8664 9897 11913 13196 15884 19794 23826 26392 31768 36289 39588 47652 62681 72578 79176 95304 108867 125362 145156 188043 217734 250724 290312 376086 435468 501448 689491 752172 870936 1190939 1378982 1504344 2068473 2381878 2757964 3572817 4136946 4763756 5515928 7145634 8273892 9527512 13100329 14291268 16547784 26200658 28582536 39300987 52401316 78601974 104802632 157203948 314407896