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316305408 = 212325741
BaseRepresentation
bin10010110110100…
…111000000000000
3211001011222110010
4102312213000000
51121433233113
651215304520
710560360126
oct2266470000
9731158403
10316305408
11152600a31
1289b1b140
13506b9683
1430019916
151cb801c3
hex12da7000

316305408 has 52 divisors (see below), whose sum is σ = 843410888. Its totient is φ = 105431040.

The previous prime is 316305403. The next prime is 316305413. The reversal of 316305408 is 804503613.

It is an interprime number because it is at equal distance from previous prime (316305403) and next prime (316305413).

It is a super-2 number, since 2×3163054082 = 200098222260092928, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (316305401) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 583 + ... + 25158.

Almost surely, 2316305408 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 316305408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421705444).

316305408 is an abundant number, since it is smaller than the sum of its proper divisors (527105480).

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

316305408 is an equidigital number, since it uses as much as digits as its factorization.

316305408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25768 (or 25746 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 316305408 is about 17784.9770311912. The cubic root of 316305408 is about 681.3478226892.

The spelling of 316305408 in words is "three hundred sixteen million, three hundred five thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 4096 6144 12288 25741 51482 77223 102964 154446 205928 308892 411856 617784 823712 1235568 1647424 2471136 3294848 4942272 6589696 9884544 13179392 19769088 26358784 39538176 52717568 79076352 105435136 158152704 316305408