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3040256646 = 23374131179
BaseRepresentation
bin1011010100110110…
…1010001010000110
321211212210001002000
42311031222022012
522211301203041
61221403130130
7135224520000
oct26515521206
97755701060
103040256646
1113201668a9
1270a213946
13395b3ab3b
1420bac5370
1512bd96bb6
hexb536a286

3040256646 has 160 divisors (see below), whose sum is σ = 7986211200. Its totient is φ = 857198160.

The previous prime is 3040256599. The next prime is 3040256647. The reversal of 3040256646 is 6466520403.

3040256646 is a `hidden beast` number, since 3 + 0 + 4 + 0 + 2 + 5 + 6 + 646 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 3040256646.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3040256647) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 16984585 + ... + 16984763.

It is an arithmetic number, because the mean of its divisors is an integer number (49913820).

Almost surely, 23040256646 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3040256646, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3993105600).

3040256646 is an abundant number, since it is smaller than the sum of its proper divisors (4945954554).

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

3040256646 is a wasteful number, since it uses less digits than its factorization.

3040256646 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 3040256646 is about 55138.5223414629. The cubic root of 3040256646 is about 1448.6720534870.

The spelling of 3040256646 in words is "three billion, forty million, two hundred fifty-six thousand, six hundred forty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 98 126 131 147 179 189 262 294 343 358 378 393 441 537 686 786 882 917 1029 1074 1179 1253 1323 1611 1834 2058 2358 2401 2506 2646 2751 3087 3222 3537 3759 4802 4833 5502 6174 6419 7074 7203 7518 8253 8771 9261 9666 11277 12838 14406 16506 17542 18522 19257 21609 22554 23449 24759 26313 33831 38514 43218 44933 46898 49518 52626 57771 61397 64827 67662 70347 78939 89866 115542 122794 129654 134799 140694 157878 164143 173313 184191 211041 236817 269598 314531 328286 346626 368382 404397 422082 429779 473634 492429 552573 629062 633123 808794 859558 943593 984858 1105146 1149001 1213191 1266246 1289337 1477287 1657719 1887186 2298002 2426382 2578674 2830779 2954574 3315438 3447003 3868011 4431861 5661558 6894006 7736022 8043007 8492337 8863722 10341009 11604033 16086014 16984674 20682018 23208066 24129021 31023027 48258042 56301049 62046054 72387063 112602098 144774126 168903147 217161189 337806294 434322378 506709441 1013418882 1520128323 3040256646