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318139008 = 27311241167
BaseRepresentation
bin10010111101100…
…110101010000000
3211011122010200020
4102331212222000
51122420422013
651322453440
710612064655
oct2275465200
9734563606
10318139008
11153643600
128a664280
1350bac145
1430375c2c
151cde3623
hex12f66a80

318139008 has 192 divisors, whose sum is σ = 957216960. Its totient is φ = 93491200.

The previous prime is 318139007. The next prime is 318139057. The reversal of 318139008 is 800931813.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×3181390082 = 202424856822448128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a self number, because there is not a number n which added to its sum of digits gives 318139008.

It is not an unprimeable number, because it can be changed into a prime (318139007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1904941 + ... + 1905107.

It is an arithmetic number, because the mean of its divisors is an integer number (4985505).

Almost surely, 2318139008 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 318139008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478608480).

318139008 is an abundant number, since it is smaller than the sum of its proper divisors (639077952).

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

318139008 is a wasteful number, since it uses less digits than its factorization.

318139008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 318139008 is about 17836.4516650594. The cubic root of 318139008 is about 682.6618618097.

The spelling of 318139008 in words is "three hundred eighteen million, one hundred thirty-nine thousand, eight".