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318340928 = 26792797
BaseRepresentation
bin10010111110010…
…111111101000000
3211012000101122202
4102332113331000
51122443402203
651331052332
710613565443
oct2276277500
9735011582
10318340928
11153771284
128a7410a8
1350c50019
14303c965a
151ce33388
hex12f97f40

318340928 has 42 divisors (see below), whose sum is σ = 640608066. Its totient is φ = 156958464.

The previous prime is 318340927. The next prime is 318340937. The reversal of 318340928 is 829043813.

318340928 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 270010624 + 48330304 = 16432^2 + 6952^2 .

It is a junction number, because it is equal to n+sod(n) for n = 318340891 and 318340900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (318340927) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 399026 + ... + 399822.

It is an arithmetic number, because the mean of its divisors is an integer number (15252573).

Almost surely, 2318340928 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 318340928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320304033).

318340928 is an abundant number, since it is smaller than the sum of its proper divisors (322267138).

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

318340928 is an frugal number, since it uses more digits than its factorization.

318340928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 967 (or 878 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

The square root of 318340928 is about 17842.1110858553. Note that the first 3 decimals coincide. The cubic root of 318340928 is about 682.8062577366.

The spelling of 318340928 in words is "three hundred eighteen million, three hundred forty thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 16 32 64 79 158 316 632 797 1264 1594 2528 3188 5056 6241 6376 12482 12752 24964 25504 49928 51008 62963 99856 125926 199712 251852 399424 503704 1007408 2014816 4029632 4974077 9948154 19896308 39792616 79585232 159170464 318340928