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3681298608 = 2431323114639
BaseRepresentation
bin1101101101101100…
…0010100010110000
3100111120000100022220
43123123002202300
530014403023413
61405143001040
7160140344001
oct33333024260
910446010286
103681298608
111619aa7149
12868a39180
134688a6600
1426ccb31a8
151682c0223
hexdb6c28b0

3681298608 has 120 divisors (see below), whose sum is σ = 10630748160. Its totient is φ = 1096093440.

The previous prime is 3681298573. The next prime is 3681298613. The reversal of 3681298608 is 8068921863.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 244153 + ... + 258791.

It is an arithmetic number, because the mean of its divisors is an integer number (88589568).

Almost surely, 23681298608 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 3681298608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5315374080).

3681298608 is an abundant number, since it is smaller than the sum of its proper divisors (6949449552).

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

3681298608 is a wasteful number, since it uses less digits than its factorization.

3681298608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14707 (or 14688 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 51.

The square root of 3681298608 is about 60673.7060677852. The cubic root of 3681298608 is about 1544.0701083184.

The spelling of 3681298608 in words is "three billion, six hundred eighty-one million, two hundred ninety-eight thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 39 48 52 62 78 93 104 124 156 169 186 208 248 312 338 372 403 496 507 624 676 744 806 1014 1209 1352 1488 1612 2028 2418 2704 3224 4056 4836 5239 6448 8112 9672 10478 14639 15717 19344 20956 29278 31434 41912 43917 58556 62868 83824 87834 117112 125736 175668 190307 234224 251472 351336 380614 453809 570921 702672 761228 907618 1141842 1361427 1522456 1815236 2283684 2473991 2722854 3044912 3630472 4567368 4947982 5445708 5899517 7260944 7421973 9134736 9895964 10891416 11799034 14843946 17698551 19791928 21782832 23598068 29687892 35397102 39583856 47196136 59375784 70794204 76693721 94392272 118751568 141588408 153387442 230081163 283176816 306774884 460162326 613549768 920324652 1227099536 1840649304 3681298608