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314316378 = 232311673373
BaseRepresentation
bin10010101111000…
…001011001011010
3210220102221000100
4102233001121122
51120431111003
651104520230
710534434165
oct2257013132
9726387010
10314316378
11151472602
1289320076
135017122c
142da5cadc
151c8daba3
hex12bc165a

314316378 has 48 divisors (see below), whose sum is σ = 707406336. Its totient is φ = 100755360.

The previous prime is 314316337. The next prime is 314316403. The reversal of 314316378 is 873613413.

314316378 is a `hidden beast` number, since 3 + 14 + 3 + 1 + 637 + 8 = 666.

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, 91500 + ... + 94872.

It is an arithmetic number, because the mean of its divisors is an integer number (14737632).

Almost surely, 2314316378 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314316378, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353703168).

314316378 is an abundant number, since it is smaller than the sum of its proper divisors (393089958).

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

314316378 is a wasteful number, since it uses less digits than its factorization.

314316378 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3579 (or 3576 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 314316378 is about 17728.9700208444. The cubic root of 314316378 is about 679.9166405890.

The spelling of 314316378 in words is "three hundred fourteen million, three hundred sixteen thousand, three hundred seventy-eight".

Divisors: 1 2 3 6 9 18 31 62 93 167 186 279 334 501 558 1002 1503 3006 3373 5177 6746 10119 10354 15531 20238 30357 31062 46593 60714 93186 104563 209126 313689 563291 627378 941067 1126582 1689873 1882134 3379746 5069619 10139238 17462021 34924042 52386063 104772126 157158189 314316378