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316310400 = 2733527523
BaseRepresentation
bin10010110110101…
…000001110000000
3211001012020022000
4102312220032000
51121433413100
651215344000
710560410520
oct2266501600
9731166260
10316310400
1115260475a
1289b22000
13506bba23
143001b680
151cb81900
hex12da8380

316310400 has 384 divisors, whose sum is σ = 1325510400. Its totient is φ = 72161280.

The previous prime is 316310399. The next prime is 316310419. The reversal of 316310400 is 4013613.

316310400 is a `hidden beast` number, since 31 + 631 + 0 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 604539 + ... + 605061.

It is an arithmetic number, because the mean of its divisors is an integer number (3451850).

Almost surely, 2316310400 is an apocalyptic number.

316310400 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 316310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662755200).

316310400 is an abundant number, since it is smaller than the sum of its proper divisors (1009200000).

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

316310400 is a wasteful number, since it uses less digits than its factorization.

316310400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 316310400 is about 17785.1173738044. The cubic root of 316310400 is about 681.3514070630.

The spelling of 316310400 in words is "three hundred sixteen million, three hundred ten thousand, four hundred".