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3104564040 = 2332553162713
BaseRepresentation
bin1011100100001011…
…1110001101001000
322000100210012020100
42321002332031020
522324232022130
61232021325400
7136635234054
oct27102761510
98010705210
103104564040
111353499a06
12727866860
133a6265556
14216464c64
1513284ac60
hexb90be348

3104564040 has 96 divisors (see below), whose sum is σ = 10280270520. Its totient is φ = 812258304.

The previous prime is 3104564039. The next prime is 3104564083. The reversal of 3104564040 is 404654013.

3104564040 is a `hidden beast` number, since 3 + 10 + 4 + 5 + 640 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2475858564 + 628705476 = 49758^2 + 25074^2 .

It is a super-2 number, since 2×31045640402 = 19276635756922243200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3104563995 and 3104564013.

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, 62277 + ... + 100436.

Almost surely, 23104564040 is an apocalyptic number.

3104564040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3104564040 is an abundant number, since it is smaller than the sum of its proper divisors (7175706480).

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

3104564040 is a wasteful number, since it uses less digits than its factorization.

3104564040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162783 (or 162776 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 3104564040 is about 55718.6148427974. The cubic root of 3104564040 is about 1458.8149575778.

The spelling of 3104564040 in words is "three billion, one hundred four million, five hundred sixty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 53 60 72 90 106 120 159 180 212 265 318 360 424 477 530 636 795 954 1060 1272 1590 1908 2120 2385 3180 3816 4770 6360 9540 19080 162713 325426 488139 650852 813565 976278 1301704 1464417 1627130 1952556 2440695 2928834 3254260 3905112 4881390 5857668 6508520 7322085 8623789 9762780 11715336 14644170 17247578 19525560 25871367 29288340 34495156 43118945 51742734 58576680 68990312 77614101 86237890 103485468 129356835 155228202 172475780 206970936 258713670 310456404 344951560 388070505 517427340 620912808 776141010 1034854680 1552282020 3104564040