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3290885928 = 2333112236211
BaseRepresentation
bin1100010000100110…
…1110111100101000
322111100101022211000
43010021232330220
523214431322203
61302315035000
7144360032421
oct30411567450
98440338730
103290885928
11143968a340
1277a13ba60
13405a40aa5
142330c6648
15143da24a3
hexc426ef28

3290885928 has 128 divisors (see below), whose sum is σ = 10018713600. Its totient is φ = 992606400.

The previous prime is 3290885921. The next prime is 3290885957. The reversal of 3290885928 is 8295880923.

It is a super-2 number, since 2×32908859282 = 21659860382216842368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (3290885921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 526743 + ... + 532953.

It is an arithmetic number, because the mean of its divisors is an integer number (78271200).

Almost surely, 23290885928 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 3290885928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5009356800).

3290885928 is an abundant number, since it is smaller than the sum of its proper divisors (6727827672).

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

3290885928 is a wasteful number, since it uses less digits than its factorization.

3290885928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6460 (or 6450 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The square root of 3290885928 is about 57366.2438024314. The cubic root of 3290885928 is about 1487.4336749657.

The spelling of 3290885928 in words is "three billion, two hundred ninety million, eight hundred eighty-five thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 223 264 297 396 446 594 669 792 892 1188 1338 1784 2007 2376 2453 2676 4014 4906 5352 6021 6211 7359 8028 9812 12042 12422 14718 16056 18633 19624 22077 24084 24844 29436 37266 44154 48168 49688 55899 58872 66231 68321 74532 88308 111798 132462 136642 149064 167697 176616 204963 223596 264924 273284 335394 409926 447192 529848 546568 614889 670788 819852 1229778 1341576 1385053 1639704 1844667 2459556 2770106 3689334 4155159 4919112 5540212 7378668 8310318 11080424 12465477 14757336 15235583 16620636 24930954 30471166 33241272 37396431 45706749 49861908 60942332 74792862 91413498 99723816 121884664 137120247 149585724 182826996 274240494 299171448 365653992 411360741 548480988 822721482 1096961976 1645442964 3290885928