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318640192 = 2613419341
BaseRepresentation
bin10010111111100…
…001000001000000
3211012120121011121
4102333201001000
51123032441232
651341322024
710616253103
oct2277410100
9735517147
10318640192
11153956102
128a866314
13510262c0
143046673a
151ce91d97
hex12fe1040

318640192 has 56 divisors (see below), whose sum is σ = 697623192. Its totient is φ = 143462400.

The previous prime is 318640181. The next prime is 318640199. The reversal of 318640192 is 291046813.

It can be written as a sum of positive squares in 4 ways, for example, as 11128896 + 307511296 = 3336^2 + 17536^2 .

It is not an unprimeable number, because it can be changed into a prime (318640199) 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 7 ways as a sum of consecutive naturals, for example, 29442 + ... + 38782.

It is an arithmetic number, because the mean of its divisors is an integer number (12457557).

Almost surely, 2318640192 is an apocalyptic number.

318640192 is a gapful number since it is divisible by the number (32) 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 318640192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348811596).

318640192 is an abundant number, since it is smaller than the sum of its proper divisors (378983000).

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

318640192 is a wasteful number, since it uses less digits than its factorization.

318640192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9407 (or 9397 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 318640192 is about 17850.4955673505. The cubic root of 318640192 is about 683.0201535068.

The spelling of 318640192 in words is "three hundred eighteen million, six hundred forty thousand, one hundred ninety-two".

Divisors: 1 2 4 8 13 16 26 32 41 52 64 82 104 164 208 328 416 533 656 832 1066 1312 2132 2624 4264 8528 9341 17056 18682 34112 37364 74728 121433 149456 242866 298912 382981 485732 597824 765962 971464 1531924 1942928 3063848 3885856 4978753 6127696 7771712 9957506 12255392 19915012 24510784 39830024 79660048 159320096 318640192