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318805920 = 25325221393
BaseRepresentation
bin10011000000001…
…001011110100000
3211012220000111200
4103000021132200
51123103242140
651345041200
710620543216
oct2300113640
9735800450
10318805920
11153a59674
128a926200
1351083874
14304aacb6
151cec6030
hex130097a0

318805920 has 72 divisors (see below), whose sum is σ = 1087930116. Its totient is φ = 85014528.

The previous prime is 318805919. The next prime is 318805951. The reversal of 318805920 is 29508813.

It can be written as a sum of positive squares in 2 ways, for example, as 316697616 + 2108304 = 17796^2 + 1452^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 109257 + ... + 112136.

Almost surely, 2318805920 is an apocalyptic number.

318805920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

318805920 is an abundant number, since it is smaller than the sum of its proper divisors (769124196).

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

318805920 is a wasteful number, since it uses less digits than its factorization.

318805920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221414 (or 221403 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 318805920 is about 17855.1370759230. The cubic root of 318805920 is about 683.1385482227.

The spelling of 318805920 in words is "three hundred eighteen million, eight hundred five thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 221393 442786 664179 885572 1106965 1328358 1771144 1992537 2213930 2656716 3320895 3542288 3985074 4427860 5313432 6641790 7084576 7970148 8855720 9962685 10626864 13283580 15940296 17711440 19925370 21253728 26567160 31880592 35422880 39850740 53134320 63761184 79701480 106268640 159402960 318805920