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313437690 = 23259413701
BaseRepresentation
bin10010101011101…
…010110111111010
3210211210021200100
4102223222313322
51120220001230
651034020230
710524114336
oct2253526772
9724707610
10313437690
11150a22415
1288b77676
134cc242b7
142d8b07c6
151c7b5660
hex12aeadfa

313437690 has 48 divisors (see below), whose sum is σ = 816024456. Its totient is φ = 83472000.

The previous prime is 313437679. The next prime is 313437731. The reversal of 313437690 is 96734313.

It can be written as a sum of positive squares in 4 ways, for example, as 253669329 + 59768361 = 15927^2 + 7731^2 .

It is a super-2 number, since 2×3134376902 = 196486371025072200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82840 + ... + 86540.

Almost surely, 2313437690 is an apocalyptic number.

313437690 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

313437690 is an abundant number, since it is smaller than the sum of its proper divisors (502586766).

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

313437690 is a wasteful number, since it uses less digits than its factorization.

313437690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4655 (or 4652 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The square root of 313437690 is about 17704.1715423230. The cubic root of 313437690 is about 679.2824683333.

The spelling of 313437690 in words is "three hundred thirteen million, four hundred thirty-seven thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 941 1882 2823 3701 4705 5646 7402 8469 9410 11103 14115 16938 18505 22206 28230 33309 37010 42345 55515 66618 84690 111030 166545 333090 3482641 6965282 10447923 17413205 20895846 31343769 34826410 52239615 62687538 104479230 156718845 313437690