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318066840 = 2332572131973
BaseRepresentation
bin10010111101010…
…101000010011000
3211011111110200100
4102331111002120
51122411114330
651321135400
710611344400
oct2275250230
9734443610
10318066840
111535a4363
128a62a560
1350b85340
1430357800
151cdcc060
hex12f55098

318066840 has 576 divisors, whose sum is σ = 1381816800. Its totient is φ = 62705664.

The previous prime is 318066797. The next prime is 318066841. The reversal of 318066840 is 48660813.

It is a happy number.

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 = 318066795 and 318066804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (318066841) 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 143 ways as a sum of consecutive naturals, for example, 4357044 + ... + 4357116.

Almost surely, 2318066840 is an apocalyptic number.

318066840 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 318066840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690908400).

318066840 is an abundant number, since it is smaller than the sum of its proper divisors (1063749960).

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

318066840 is a wasteful number, since it uses less digits than its factorization.

318066840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 318066840 is about 17834.4285021977. The cubic root of 318066840 is about 682.6102386034.

The spelling of 318066840 in words is "three hundred eighteen million, sixty-six thousand, eight hundred forty".