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318681864 = 2335179643
BaseRepresentation
bin10010111111101…
…011001100001000
3211012122201100000
4102333223030020
51123040304424
651342243000
710616515434
oct2277531410
9735581300
10318681864
11153984446
128a886460
135103c267
14304779c4
151ce9e3c9
hex12feb308

318681864 has 96 divisors (see below), whose sum is σ = 947812320. Its totient is φ = 99968256.

The previous prime is 318681821. The next prime is 318681871. The reversal of 318681864 is 468186813.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28227 + ... + 37869.

It is an arithmetic number, because the mean of its divisors is an integer number (9873045).

Almost surely, 2318681864 is an apocalyptic number.

318681864 is a gapful number since it is divisible by the number (34) 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 318681864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473906160).

318681864 is an abundant number, since it is smaller than the sum of its proper divisors (629130456).

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

318681864 is a wasteful number, since it uses less digits than its factorization.

318681864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9681 (or 9665 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 318681864 is about 17851.6627796965. The cubic root of 318681864 is about 683.0499275026.

The spelling of 318681864 in words is "three hundred eighteen million, six hundred eighty-one thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 81 102 108 136 153 162 204 216 243 306 324 408 459 486 612 648 918 972 1224 1377 1836 1944 2754 3672 4131 5508 8262 9643 11016 16524 19286 28929 33048 38572 57858 77144 86787 115716 163931 173574 231432 260361 327862 347148 491793 520722 655724 694296 781083 983586 1041444 1311448 1475379 1562166 1967172 2082888 2343249 2950758 3124332 3934344 4426137 4686498 5901516 6248664 8852274 9372996 11803032 13278411 17704548 18745992 26556822 35409096 39835233 53113644 79670466 106227288 159340932 318681864