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3392412336 = 2432312572957
BaseRepresentation
bin1100101000110100…
…0001101010110000
322202102102101212100
43022031001222300
523421424143321
61320343100400
7150032012655
oct31215015260
98672371770
103392412336
111490a23665
127a8141700
13420a9a2a1
14242793c2c
1514cc59326
hexca341ab0

3392412336 has 120 divisors (see below), whose sum is σ = 9841762944. Its totient is φ = 1089699840.

The previous prime is 3392412313. The next prime is 3392412343. The reversal of 3392412336 is 6332142933.

It is a super-2 number, since 2×33924123362 = 23016922914889953792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 3392412336.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1145770 + ... + 1148726.

Almost surely, 23392412336 is an apocalyptic number.

3392412336 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3392412336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4920881472).

3392412336 is an abundant number, since it is smaller than the sum of its proper divisors (6449350608).

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

3392412336 is a wasteful number, since it uses less digits than its factorization.

3392412336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3259 (or 3250 counting only the distinct ones).

The product of its digits is 69984, while the sum is 36.

The square root of 3392412336 is about 58244.4189257649. The cubic root of 3392412336 is about 1502.5751817626.

The spelling of 3392412336 in words is "three billion, three hundred ninety-two million, four hundred twelve thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 248 257 279 372 496 514 558 744 771 1028 1116 1488 1542 2056 2232 2313 2957 3084 4112 4464 4626 5914 6168 7967 8871 9252 11828 12336 15934 17742 18504 23656 23901 26613 31868 35484 37008 47312 47802 53226 63736 70968 71703 91667 95604 106452 127472 141936 143406 183334 191208 212904 275001 286812 366668 382416 425808 550002 573624 733336 759949 825003 1100004 1147248 1466672 1519898 1650006 2200008 2279847 3039796 3300012 4400016 4559694 6079592 6600024 6839541 9119388 12159184 13200048 13679082 18238776 23558419 27358164 36477552 47116838 54716328 70675257 94233676 109432656 141350514 188467352 212025771 282701028 376934704 424051542 565402056 848103084 1130804112 1696206168 3392412336