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316353808 = 24296111177
BaseRepresentation
bin10010110110110…
…010110100010000
3211001021102211201
4102312302310100
51121441310213
651220320544
710560651211
oct2266626420
9731242751
10316353808
11152634331
1289b43154
1350705704
143002d408
151cb8e6dd
hex12db2d10

316353808 has 40 divisors (see below), whose sum is σ = 644523480. Its totient is φ = 150205440.

The previous prime is 316353773. The next prime is 316353859. The reversal of 316353808 is 808353613.

It can be written as a sum of positive squares in 4 ways, for example, as 30338064 + 286015744 = 5508^2 + 16912^2 .

It is a super-2 number, since 2×3163538082 = 200159463672201728, which contains 22 as substring.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 22716 + ... + 33892.

It is an arithmetic number, because the mean of its divisors is an integer number (16113087).

Almost surely, 2316353808 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 316353808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322261740).

316353808 is an abundant number, since it is smaller than the sum of its proper divisors (328169672).

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

316353808 is a wasteful number, since it uses less digits than its factorization.

316353808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11275 (or 11269 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The square root of 316353808 is about 17786.3376781169. The cubic root of 316353808 is about 681.3825734416.

The spelling of 316353808 in words is "three hundred sixteen million, three hundred fifty-three thousand, eight hundred eight".

Divisors: 1 2 4 8 16 29 58 61 116 122 232 244 464 488 976 1769 3538 7076 11177 14152 22354 28304 44708 89416 178832 324133 648266 681797 1296532 1363594 2593064 2727188 5186128 5454376 10908752 19772113 39544226 79088452 158176904 316353808