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318316680 = 2332511312593
BaseRepresentation
bin10010111110010…
…010000010001000
3211011222011101200
4102332102002020
51122442113210
651330344200
710613434653
oct2276220210
9734864350
10318316680
11153755040
128a72b060
1350c41c86
14303c089a
151ce2b0c0
hex12f92088

318316680 has 192 divisors, whose sum is σ = 1165432320. Its totient is φ = 74649600.

The previous prime is 318316679. The next prime is 318316681. The reversal of 318316680 is 86613813.

It is an interprime number because it is at equal distance from previous prime (318316679) and next prime (318316681).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (318316681) by changing a digit.

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, 121464 + ... + 124056.

It is an arithmetic number, because the mean of its divisors is an integer number (6069960).

Almost surely, 2318316680 is an apocalyptic number.

318316680 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 318316680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582716160).

318316680 is an abundant number, since it is smaller than the sum of its proper divisors (847115640).

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

318316680 is a wasteful number, since it uses less digits than its factorization.

318316680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2652 (or 2645 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 318316680 is about 17841.4315569127. The cubic root of 318316680 is about 682.7889208659.

The spelling of 318316680 in words is "three hundred eighteen million, three hundred sixteen thousand, six hundred eighty".