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318684240 = 24335723011
BaseRepresentation
bin10010111111101…
…011110001010000
3211012122211121000
4102333223301100
51123040343430
651342302000
710616525400
oct2277536120
9735584530
10318684240
11153986206
128a887900
1351040374
1430478800
151ce9ee60
hex12febc50

318684240 has 240 divisors, whose sum is σ = 1277328960. Its totient is φ = 72817920.

The previous prime is 318684217. The next prime is 318684241. The reversal of 318684240 is 42486813.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 318684195 and 318684204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (318684241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 104335 + ... + 107345.

It is an arithmetic number, because the mean of its divisors is an integer number (5322204).

Almost surely, 2318684240 is an apocalyptic number.

318684240 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 318684240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638664480).

318684240 is an abundant number, since it is smaller than the sum of its proper divisors (958644720).

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

318684240 is a wasteful number, since it uses less digits than its factorization.

318684240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3047 (or 3028 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 318684240 is about 17851.7293279951. The cubic root of 318684240 is about 683.0516250394.

The spelling of 318684240 in words is "three hundred eighteen million, six hundred eighty-four thousand, two hundred forty".