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318096 = 2432472
BaseRepresentation
bin1001101101010010000
3121011100100
41031222100
540134341
610452400
72463252
oct1155220
9534310
10318096
111a7a99
12134100
13b1a2c
1483cd2
15643b6
hex4da90

318096 has 45 divisors (see below), whose sum is σ = 909571. Its totient is φ = 103776.

The previous prime is 318077. The next prime is 318103. The reversal of 318096 is 690813.

The square root of 318096 is 564.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 318096.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6745 + ... + 6791.

2318096 is an apocalyptic number.

318096 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

318096 is the 564-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 318096

318096 is an abundant number, since it is smaller than the sum of its proper divisors (591475).

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

318096 is a wasteful number, since it uses less digits than its factorization.

318096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The cubic root of 318096 is about 68.2631098272.

Multiplying 318096 by its product of nonzero digits (1296), we get a square (412252416 = 203042).

The spelling of 318096 in words is "three hundred eighteen thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 47 48 72 94 141 144 188 282 376 423 564 752 846 1128 1692 2209 2256 3384 4418 6627 6768 8836 13254 17672 19881 26508 35344 39762 53016 79524 106032 159048 318096