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318323040 = 25357211449
BaseRepresentation
bin10010111110010…
…011100101100000
3211011222111010020
4102332103211200
51122442314130
651330433440
710613462340
oct2276234540
9734874106
10318323040
111537598a2
128a732880
1350c44b39
14303c2d20
151ce2ce10
hex12f93960

318323040 has 192 divisors, whose sum is σ = 1153958400. Its totient is φ = 72253440.

The previous prime is 318323029. The next prime is 318323063. The reversal of 318323040 is 40323813.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 318323040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 708736 + ... + 709184.

It is an arithmetic number, because the mean of its divisors is an integer number (6010200).

Almost surely, 2318323040 is an apocalyptic number.

318323040 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 318323040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576979200).

318323040 is an abundant number, since it is smaller than the sum of its proper divisors (835635360).

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

318323040 is a wasteful number, since it uses less digits than its factorization.

318323040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 685 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 318323040 is about 17841.6097928410. The cubic root of 318323040 is about 682.7934682332.

Adding to 318323040 its reverse (40323813), we get a palindrome (358646853).

The spelling of 318323040 in words is "three hundred eighteen million, three hundred twenty-three thousand, forty".