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3412268544 = 29389109229
BaseRepresentation
bin1100101101100011…
…0001011000000000
322210210210012110110
43023120301120000
523442020043134
61322332431320
7150362542536
oct31330613000
98723705413
103412268544
1114a1155953
127b2918540
13424c30119
14245282156
1514e87c7e9
hexcb631600

3412268544 has 160 divisors (see below), whose sum is σ = 9317484000. Its totient is φ = 1109458944.

The previous prime is 3412268521. The next prime is 3412268581. The reversal of 3412268544 is 4458622143.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14900622 + ... + 14900850.

It is an arithmetic number, because the mean of its divisors is an integer number (58234275).

Almost surely, 23412268544 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 3412268544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4658742000).

3412268544 is an abundant number, since it is smaller than the sum of its proper divisors (5905215456).

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

3412268544 is a wasteful number, since it uses less digits than its factorization.

3412268544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 432 counting only the distinct ones).

The product of its digits is 184320, while the sum is 39.

The square root of 3412268544 is about 58414.6261136712. The cubic root of 3412268544 is about 1505.5010666259.

The spelling of 3412268544 in words is "three billion, four hundred twelve million, two hundred sixty-eight thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 89 96 109 128 178 192 218 229 256 267 327 356 384 436 458 512 534 654 687 712 768 872 916 1068 1308 1374 1424 1536 1744 1832 2136 2616 2748 2848 3488 3664 4272 5232 5496 5696 6976 7328 8544 9701 10464 10992 11392 13952 14656 17088 19402 20381 20928 21984 22784 24961 27904 29103 29312 34176 38804 40762 41856 43968 45568 49922 55808 58206 58624 61143 68352 74883 77608 81524 83712 87936 99844 116412 117248 122286 136704 149766 155216 163048 167424 175872 199688 232824 244572 299532 310432 326096 351744 399376 465648 489144 599064 620864 652192 798752 931296 978288 1198128 1241728 1304384 1597504 1862592 1956576 2221529 2396256 2483456 2608768 3195008 3725184 3913152 4443058 4792512 4966912 5217536 6390016 6664587 7450368 7826304 8886116 9585024 10435072 12780032 13329174 14900736 15652608 17772232 19170048 26658348 31305216 35544464 38340096 53316696 71088928 106633392 142177856 213266784 284355712 426533568 568711424 853067136 1137422848 1706134272 3412268544