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316136808 = 233213225981
BaseRepresentation
bin10010110101111…
…101110101101000
3211000212102011200
4102311331311220
51121412334213
651211524200
710556055441
oct2265756550
9730772150
10316136808
111524a6299
1289a59660
135065aa00
142ddb42c8
151cb4a273
hex12d7dd68

316136808 has 72 divisors (see below), whose sum is σ = 927167670. Its totient is φ = 97269120.

The previous prime is 316136797. The next prime is 316136813. The reversal of 316136808 is 808631613.

316136808 is a `hidden beast` number, since 31 + 613 + 6 + 8 + 0 + 8 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 164403684 + 151733124 = 12822^2 + 12318^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 823 + ... + 25158.

Almost surely, 2316136808 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 316136808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463583835).

316136808 is an abundant number, since it is smaller than the sum of its proper divisors (611030862).

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

316136808 is a wasteful number, since it uses less digits than its factorization.

316136808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26019 (or 25999 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 316136808 is about 17780.2364438722. The cubic root of 316136808 is about 681.2267417585.

The spelling of 316136808 in words is "three hundred sixteen million, one hundred thirty-six thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 169 234 312 338 468 507 676 936 1014 1352 1521 2028 3042 4056 6084 12168 25981 51962 77943 103924 155886 207848 233829 311772 337753 467658 623544 675506 935316 1013259 1351012 1870632 2026518 2702024 3039777 4053036 4390789 6079554 8106072 8781578 12159108 13172367 17563156 24318216 26344734 35126312 39517101 52689468 79034202 105378936 158068404 316136808