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318401316 = 223219538783
BaseRepresentation
bin10010111110100…
…110101100100100
3211012010110111100
4102332212230210
51123002320231
651332240100
710614236502
oct2276465444
9735113440
10318401316
11153802692
128a770030
1350c7165c
1430403672
151ce461e6
hex12fa6b24

318401316 has 72 divisors (see below), whose sum is σ = 863291520. Its totient is φ = 98639424.

The previous prime is 318401309. The next prime is 318401431. The reversal of 318401316 is 613104813.

It is a self number, because there is not a number n which added to its sum of digits gives 318401316.

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, 31861 + ... + 40643.

It is an arithmetic number, because the mean of its divisors is an integer number (11990160).

Almost surely, 2318401316 is an apocalyptic number.

318401316 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 318401316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431645760).

318401316 is an abundant number, since it is smaller than the sum of its proper divisors (544890204).

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

318401316 is a wasteful number, since it uses less digits than its factorization.

318401316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8865 (or 8860 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 318401316 is about 17843.8032941411. The cubic root of 318401316 is about 682.8494302116.

The spelling of 318401316 in words is "three hundred eighteen million, four hundred one thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 53 57 76 106 114 159 171 212 228 318 342 477 636 684 954 1007 1908 2014 3021 4028 6042 8783 9063 12084 17566 18126 26349 35132 36252 52698 79047 105396 158094 166877 316188 333754 465499 500631 667508 930998 1001262 1396497 1501893 1861996 2002524 2792994 3003786 4189491 5585988 6007572 8378982 8844481 16757964 17688962 26533443 35377924 53066886 79600329 106133772 159200658 318401316