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316431360 = 2103457109
BaseRepresentation
bin10010110111000…
…101110000000000
3211001102101020000
4102313011300000
51122001300420
651222120000
710561423260
oct2267056000
9731371200
10316431360
11152687623
1289b80000
1350731abb
143004d7a0
151cba7690
hex12dc5c00

316431360 has 440 divisors, whose sum is σ = 1307787360. Its totient is φ = 71663616.

The previous prime is 316431341. The next prime is 316431373. The reversal of 316431360 is 63134613.

316431360 is a `hidden beast` number, since 3 + 1 + 643 + 13 + 6 + 0 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 39 ways as a sum of consecutive naturals, for example, 2902986 + ... + 2903094.

It is an arithmetic number, because the mean of its divisors is an integer number (2972244).

Almost surely, 2316431360 is an apocalyptic number.

316431360 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 316431360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653893680).

316431360 is an abundant number, since it is smaller than the sum of its proper divisors (991356000).

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

316431360 is a wasteful number, since it uses less digits than its factorization.

316431360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 316431360 is about 17788.5176448180. The cubic root of 316431360 is about 681.4382476715.

Adding to 316431360 its reverse (63134613), we get a palindrome (379565973).

The spelling of 316431360 in words is "three hundred sixteen million, four hundred thirty-one thousand, three hundred sixty".