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311368090 = 251121715137
BaseRepresentation
bin10010100011110…
…001100110011010
3210200220010201111
4102203301212122
51114202234330
650521410534
710500404455
oct2243614632
9720803644
10311368090
1114a839500
1288339a4a
134c67b297
142d4d249c
151c50732a
hex128f199a

311368090 has 48 divisors (see below), whose sum is σ = 652326696. Its totient is φ = 106557440.

The previous prime is 311368087. The next prime is 311368097. The reversal of 311368090 is 90863113.

It can be written as a sum of positive squares in 4 ways, for example, as 290327521 + 21040569 = 17039^2 + 4587^2 .

It is not an unprimeable number, because it can be changed into a prime (311368097) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13002 + ... + 28138.

Almost surely, 2311368090 is an apocalyptic number.

311368090 is an abundant number, since it is smaller than the sum of its proper divisors (340958606).

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

311368090 is a wasteful number, since it uses less digits than its factorization.

311368090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15183 (or 15172 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 31.

The square root of 311368090 is about 17645.6252368682. The cubic root of 311368090 is about 677.7840858700.

The spelling of 311368090 in words is "three hundred eleven million, three hundred sixty-eight thousand, ninety".

Divisors: 1 2 5 10 11 17 22 34 55 85 110 121 170 187 242 374 605 935 1210 1870 2057 4114 10285 15137 20570 30274 75685 151370 166507 257329 333014 514658 832535 1286645 1665070 1831577 2573290 2830619 3663154 5661238 9157885 14153095 18315770 28306190 31136809 62273618 155684045 311368090