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1056314340 = 2232522072659
BaseRepresentation
bin111110111101100…
…001001111100100
32201121122022212100
4332331201033210
54130404024330
6252452252100
735114344434
oct7675411744
92647568770
101056314340
114a2297664
12255911030
1313aac6693
14a040a2c4
1562b07060
hex3ef613e4

1056314340 has 72 divisors (see below), whose sum is σ = 3206810880. Its totient is φ = 281450304.

The previous prime is 1056314339. The next prime is 1056314351. The reversal of 1056314340 is 434136501.

1056314340 is a `hidden beast` number, since 1 + 0 + 5 + 6 + 314 + 340 = 666.

It is a super-2 number, since 2×10563143402 = 2231599969779271200, 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, 395931 + ... + 398589.

It is an arithmetic number, because the mean of its divisors is an integer number (44539040).

Almost surely, 21056314340 is an apocalyptic number.

1056314340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1056314340 is an abundant number, since it is smaller than the sum of its proper divisors (2150496540).

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

1056314340 is a wasteful number, since it uses less digits than its factorization.

1056314340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4881 (or 4876 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 1056314340 is about 32500.9898310805. The cubic root of 1056314340 is about 1018.4297060276.

The spelling of 1056314340 in words is "one billion, fifty-six million, three hundred fourteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 2207 2659 4414 5318 6621 7977 8828 10636 11035 13242 13295 15954 19863 22070 23931 26484 26590 31908 33105 39726 39885 44140 47862 53180 66210 79452 79770 95724 99315 119655 132420 159540 198630 239310 397260 478620 5868413 11736826 17605239 23473652 29342065 35210478 52815717 58684130 70420956 88026195 105631434 117368260 176052390 211262868 264078585 352104780 528157170 1056314340