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316098816 = 28311173171
BaseRepresentation
bin10010110101110…
…100100100000000
3211000210111001120
4102311310210000
51121410130231
651211032240
710555536615
oct2265644400
9730714046
10316098816
1115247a7a0
1289a3b680
1350646627
142dda450c
151cb3dd96
hex12d74900

316098816 has 288 divisors, whose sum is σ = 1017225216. Its totient is φ = 86016000.

The previous prime is 316098803. The next prime is 316098823. The reversal of 316098816 is 618890613.

It is a super-2 number, since 2×3160988162 = 199836922953203712, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 4452061 + ... + 4452131.

It is an arithmetic number, because the mean of its divisors is an integer number (3532032).

Almost surely, 2316098816 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 316098816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508612608).

316098816 is an abundant number, since it is smaller than the sum of its proper divisors (701126400).

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

316098816 is a wasteful number, since it uses less digits than its factorization.

316098816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The square root of 316098816 is about 17779.1680345285. The cubic root of 316098816 is about 681.1994516713.

The spelling of 316098816 in words is "three hundred sixteen million, ninety-eight thousand, eight hundred sixteen".