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3084561312 = 253743106747
BaseRepresentation
bin1011011111011010…
…1010101110100000
321221222010221122120
42313312222232200
522304121430222
61230024504240
7136303224060
oct26766525640
97858127576
103084561312
111343177628
1272101b080
133a2080b11
142139393a0
15130be915c
hexb7daaba0

3084561312 has 96 divisors (see below), whose sum is σ = 9468974592. Its totient is φ = 860799744.

The previous prime is 3084561299. The next prime is 3084561397. The reversal of 3084561312 is 2131654803.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×30845613122 = 19029036974974322688, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24478 + ... + 82269.

It is an arithmetic number, because the mean of its divisors is an integer number (98635152).

Almost surely, 23084561312 is an apocalyptic number.

3084561312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3084561312 is an abundant number, since it is smaller than the sum of its proper divisors (6384413280).

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

3084561312 is a wasteful number, since it uses less digits than its factorization.

3084561312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106810 (or 106802 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 3084561312 is about 55538.8270671969. The cubic root of 3084561312 is about 1455.6751529446.

The spelling of 3084561312 in words is "three billion, eighty-four million, five hundred sixty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 43 48 56 84 86 96 112 129 168 172 224 258 301 336 344 516 602 672 688 903 1032 1204 1376 1806 2064 2408 3612 4128 4816 7224 9632 14448 28896 106747 213494 320241 426988 640482 747229 853976 1280964 1494458 1707952 2241687 2561928 2988916 3415904 4483374 4590121 5123856 5977832 8966748 9180242 10247712 11955664 13770363 17933496 18360484 23911328 27540726 32130847 35866992 36720968 55081452 64261694 71733984 73441936 96392541 110162904 128523388 146883872 192785082 220325808 257046776 385570164 440651616 514093552 771140328 1028187104 1542280656 3084561312