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316296960 = 283572412
BaseRepresentation
bin10010110110100…
…100111100000000
3211001011112212020
4102312210330000
51121433000320
651215201440
710560323400
oct2266447400
9731145766
10316296960
111525a5651
1289b16280
13506b5885
1430016800
151cb7c940
hex12da4f00

316296960 has 324 divisors, whose sum is σ = 1204459704. Its totient is φ = 70533120.

The previous prime is 316296947. The next prime is 316296973. The reversal of 316296960 is 69692613.

It is an interprime number because it is at equal distance from previous prime (316296947) and next prime (316296973).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7714540 + ... + 7714580.

Almost surely, 2316296960 is an apocalyptic number.

316296960 is a gapful number since it is divisible by the number (30) 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 316296960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602229852).

316296960 is an abundant number, since it is smaller than the sum of its proper divisors (888162744).

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

316296960 is an equidigital number, since it uses as much as digits as its factorization.

316296960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 42.

The square root of 316296960 is about 17784.7395257845. The cubic root of 316296960 is about 681.3417567400.

The spelling of 316296960 in words is "three hundred sixteen million, two hundred ninety-six thousand, nine hundred sixty".