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318382944 = 25311227409
BaseRepresentation
bin10010111110100…
…010001101100000
3211012002112021220
4102332202031200
51123001223234
651332015040
710614132105
oct2276421540
9735075256
10318382944
1115379a900
128a761480
1350c66199
14303daaac
151ce40a49
hex12fa2360

318382944 has 72 divisors (see below), whose sum is σ = 918673560. Its totient is φ = 96476160.

The previous prime is 318382907. The next prime is 318382949. The reversal of 318382944 is 449283813.

It is a junction number, because it is equal to n+sod(n) for n = 318382896 and 318382905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (318382949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2089 + ... + 25320.

It is an arithmetic number, because the mean of its divisors is an integer number (12759355).

Almost surely, 2318382944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 318382944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459336780).

318382944 is an abundant number, since it is smaller than the sum of its proper divisors (600290616).

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

318382944 is a wasteful number, since it uses less digits than its factorization.

318382944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27444 (or 27425 counting only the distinct ones).

The product of its digits is 165888, while the sum is 42.

The square root of 318382944 is about 17843.2884861508. The cubic root of 318382944 is about 682.8362963138.

The spelling of 318382944 in words is "three hundred eighteen million, three hundred eighty-two thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 121 132 176 242 264 352 363 484 528 726 968 1056 1452 1936 2904 3872 5808 11616 27409 54818 82227 109636 164454 219272 301499 328908 438544 602998 657816 877088 904497 1205996 1315632 1808994 2411992 2631264 3316489 3617988 4823984 6632978 7235976 9647968 9949467 13265956 14471952 19898934 26531912 28943904 39797868 53063824 79595736 106127648 159191472 318382944