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313837056 = 293213331
BaseRepresentation
bin10010101101001…
…100011000000000
3210212112120111200
4102231030120000
51120320241211
651050341200
710530366561
oct2255143000
9725476450
10313837056
11151175475
128912a800
1350034000
142d976168
151c843b56
hex12b4c600

313837056 has 240 divisors, whose sum is σ = 1012851840. Its totient is φ = 93450240.

The previous prime is 313837049. The next prime is 313837057. The reversal of 313837056 is 650738313.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 313837056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313837057) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10123761 + ... + 10123791.

It is an arithmetic number, because the mean of its divisors is an integer number (4220216).

Almost surely, 2313837056 is an apocalyptic number.

313837056 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 313837056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506425920).

313837056 is an abundant number, since it is smaller than the sum of its proper divisors (699014784).

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

313837056 is an equidigital number, since it uses as much as digits as its factorization.

313837056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 313837056 is about 17715.4468190898. The cubic root of 313837056 is about 679.5708480171.

The spelling of 313837056 in words is "three hundred thirteen million, eight hundred thirty-seven thousand, fifty-six".