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318407040 = 27325753149
BaseRepresentation
bin10010111110101…
…000000110000000
3211012010202100100
4102332220012000
51123003011130
651332322400
710614262260
oct2276500600
9735122310
10318407040
11153806a16
128a773400
1350c74143
14304057a0
151ce47c60
hex12fa8180

318407040 has 384 divisors, whose sum is σ = 1288872000. Its totient is φ = 70926336.

The previous prime is 318407039. The next prime is 318407041. The reversal of 318407040 is 40704813.

It is an interprime number because it is at equal distance from previous prime (318407039) and next prime (318407041).

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 318406995 and 318407013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (318407041) 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 47 ways as a sum of consecutive naturals, for example, 2136886 + ... + 2137034.

Almost surely, 2318407040 is an apocalyptic number.

318407040 is a gapful number since it is divisible by the number (30) 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 318407040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644436000).

318407040 is an abundant number, since it is smaller than the sum of its proper divisors (970464960).

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

318407040 is a wasteful number, since it uses less digits than its factorization.

318407040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 318407040 is about 17843.9636852354. The cubic root of 318407040 is about 682.8535221197.

The spelling of 318407040 in words is "three hundred eighteen million, four hundred seven thousand, forty".