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3112006392 = 2334113311319
BaseRepresentation
bin1011100101111101…
…0111001011111000
322000212210022020000
42321133113023320
522333133201032
61232445033000
7140055421635
oct27137271370
98025708200
103112006392
111357712510
1272a255760
133a796cc01
1421744118c
1513331ae7c
hexb97d72f8

3112006392 has 160 divisors (see below), whose sum is σ = 9544867200. Its totient is φ = 939470400.

The previous prime is 3112006367. The next prime is 3112006427. The reversal of 3112006392 is 2936002113.

3112006392 is a `hidden beast` number, since 3 + 1 + 1 + 20 + 0 + 639 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2358709 + ... + 2360027.

It is an arithmetic number, because the mean of its divisors is an integer number (59655420).

Almost surely, 23112006392 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3112006392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4772433600).

3112006392 is an abundant number, since it is smaller than the sum of its proper divisors (6432860808).

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

3112006392 is a wasteful number, since it uses less digits than its factorization.

3112006392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1679 (or 1666 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 3112006392 is about 55785.3600149717. The cubic root of 3112006392 is about 1459.9797320011.

The spelling of 3112006392 in words is "three billion, one hundred twelve million, six thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 81 88 99 108 132 162 198 216 264 297 324 331 396 594 648 662 792 891 993 1188 1319 1324 1782 1986 2376 2638 2648 2979 3564 3641 3957 3972 5276 5958 7128 7282 7914 7944 8937 10552 10923 11871 11916 14509 14564 15828 17874 21846 23742 23832 26811 29018 29128 31656 32769 35613 35748 43527 43692 47484 53622 58036 65538 71226 71496 87054 87384 94968 98307 106839 107244 116072 130581 131076 142452 174108 196614 213678 214488 261162 262152 284904 294921 348216 391743 393228 427356 436589 522324 589842 783486 786456 854712 873178 1044648 1175229 1179684 1309767 1566972 1746356 2350458 2359368 2619534 3133944 3492712 3929301 4700916 4802479 5239068 7858602 9401832 9604958 10478136 11787903 14407437 15717204 19209916 23575806 28814874 31434408 35363709 38419832 43222311 47151612 57629748 70727418 86444622 94303224 115259496 129666933 141454836 172889244 259333866 282909672 345778488 389000799 518667732 778001598 1037335464 1556003196 3112006392