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3338965056 = 263747243
BaseRepresentation
bin1100011100000100…
…1001000001000000
322121200211222222110
43013001021001000
523314233340211
61311153335320
7145512510000
oct30701110100
98550758873
103338965056
111463838959
12792267540
134129a5a8b
14239640000
151481ecea6
hexc7049040

3338965056 has 140 divisors (see below), whose sum is σ = 10307545552. Its totient is φ = 953858304.

The previous prime is 3338965051. The next prime is 3338965079. The reversal of 3338965056 is 6505698333.

It is a super-2 number, since 2×33389650562 = 22297375290378166272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 3338964996 and 3338965014.

It is not an unprimeable number, because it can be changed into a prime (3338965051) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 457371 + ... + 464613.

Almost surely, 23338965056 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 3338965056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5153772776).

3338965056 is an abundant number, since it is smaller than the sum of its proper divisors (6968580496).

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

3338965056 is an frugal number, since it uses more digits than its factorization.

3338965056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7286 (or 7255 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 48.

The square root of 3338965056 is about 57783.7784849693. The cubic root of 3338965056 is about 1494.6423764743.

The spelling of 3338965056 in words is "three billion, three hundred thirty-eight million, nine hundred sixty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 147 168 192 196 224 294 336 343 392 448 588 672 686 784 1029 1176 1344 1372 1568 2058 2352 2401 2744 3136 4116 4704 4802 5488 7203 7243 8232 9408 9604 10976 14406 14486 16464 19208 21729 21952 28812 28972 32928 38416 43458 50701 57624 57944 65856 76832 86916 101402 115248 115888 152103 153664 173832 202804 230496 231776 304206 347664 354907 405608 460992 463552 608412 695328 709814 811216 1064721 1216824 1390656 1419628 1622432 2129442 2433648 2484349 2839256 3244864 4258884 4867296 4968698 5678512 7453047 8517768 9734592 9937396 11357024 14906094 17035536 17390443 19874792 22714048 29812188 34071072 34780886 39749584 52171329 59624376 68142144 69561772 79499168 104342658 119248752 139123544 158998336 208685316 238497504 278247088 417370632 476995008 556494176 834741264 1112988352 1669482528 3338965056