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318763680 = 2535664091
BaseRepresentation
bin10010111111111…
…111001010100000
3211012210212120020
4102333333022200
51123100414210
651344113440
710620306114
oct2277771240
9735725506
10318763680
11153a2a964
128a905880
135106a581
1430499744
151ceb8770
hex12fff2a0

318763680 has 48 divisors (see below), whose sum is σ = 1004107104. Its totient is φ = 85003520.

The previous prime is 318763673. The next prime is 318763681. The reversal of 318763680 is 86367813.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×3187636802 = 203220567374284800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (318763681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 331566 + ... + 332525.

It is an arithmetic number, because the mean of its divisors is an integer number (20918898).

Almost surely, 2318763680 is an apocalyptic number.

318763680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

318763680 is an abundant number, since it is smaller than the sum of its proper divisors (685343424).

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

318763680 is a wasteful number, since it uses less digits than its factorization.

318763680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664109 (or 664101 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 318763680 is about 17853.9541838776. The cubic root of 318763680 is about 683.1083762121.

The spelling of 318763680 in words is "three hundred eighteen million, seven hundred sixty-three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 664091 1328182 1992273 2656364 3320455 3984546 5312728 6640910 7969092 9961365 10625456 13281820 15938184 19922730 21250912 26563640 31876368 39845460 53127280 63752736 79690920 106254560 159381840 318763680