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3412902690 = 232543220509
BaseRepresentation
bin1100101101101100…
…1100001100100010
322210211222102100100
43023123030030202
523442200341230
61322354203230
7150401123421
oct31333141442
98724872310
103412902690
1114a154933a
127b2b83516
134250c2962
142453a92b8
1514e955660
hexcb6cc322

3412902690 has 72 divisors (see below), whose sum is σ = 9085150620. Its totient is φ = 888898752.

The previous prime is 3412902667. The next prime is 3412902719. The reversal of 3412902690 is 962092143.

3412902690 is a `hidden beast` number, since 341 + 290 + 26 + 9 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3236358321 + 176544369 = 56889^2 + 13287^2 .

It is a super-2 number, since 2×34129026902 = 23295809542818472200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 156156 + ... + 176664.

Almost surely, 23412902690 is an apocalyptic number.

3412902690 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3412902690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4542575310).

3412902690 is an abundant number, since it is smaller than the sum of its proper divisors (5672247930).

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

3412902690 is a wasteful number, since it uses less digits than its factorization.

3412902690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20608 (or 20562 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 3412902690 is about 58420.0538342785. The cubic root of 3412902690 is about 1505.5943230946.

The spelling of 3412902690 in words is "three billion, four hundred twelve million, nine hundred two thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 43 45 86 90 129 215 258 387 430 645 774 1290 1849 1935 3698 3870 5547 9245 11094 16641 18490 20509 27735 33282 41018 55470 61527 83205 102545 123054 166410 184581 205090 307635 369162 615270 881887 922905 1763774 1845810 2645661 4409435 5291322 7936983 8818870 13228305 15873966 26456610 37921141 39684915 75842282 79369830 113763423 189605705 227526846 341290269 379211410 568817115 682580538 1137634230 1706451345 3412902690