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641864376 = 2332172109283
BaseRepresentation
bin100110010000100…
…001001010111000
31122201210002101200
4212100201022320
52303304130001
6143405214200
721622520466
oct4620411270
91581702350
10641864376
112aa35222a
1215ab61360
13a2c95c0a
1461363836
153b53c086
hex264212b8

641864376 has 144 divisors (see below), whose sum is σ = 1870182600. Its totient is φ = 198816768.

The previous prime is 641864339. The next prime is 641864401. The reversal of 641864376 is 673468146.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2267931 + ... + 2268213.

Almost surely, 2641864376 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 641864376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (935091300).

641864376 is an abundant number, since it is smaller than the sum of its proper divisors (1228318224).

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

641864376 is a wasteful number, since it uses less digits than its factorization.

641864376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 414 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 641864376 is about 25335.0424511190. The cubic root of 641864376 is about 862.6098723294.

The spelling of 641864376 in words is "six hundred forty-one million, eight hundred sixty-four thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 109 136 153 204 218 283 289 306 327 408 436 566 578 612 654 849 867 872 981 1132 1156 1224 1308 1698 1734 1853 1962 2264 2312 2547 2601 2616 3396 3468 3706 3924 4811 5094 5202 5559 6792 6936 7412 7848 9622 10188 10404 11118 14433 14824 16677 19244 20376 20808 22236 28866 30847 31501 33354 38488 43299 44472 57732 61694 63002 66708 81787 86598 92541 94503 115464 123388 126004 133416 163574 173196 185082 189006 245361 246776 252008 277623 283509 327148 346392 370164 378012 490722 524399 555246 567018 654296 736083 740328 756024 981444 1048798 1110492 1134036 1472166 1573197 1962888 2097596 2220984 2268072 2944332 3146394 4195192 4719591 5888664 6292788 8914783 9439182 12585576 17829566 18878364 26744349 35659132 37756728 53488698 71318264 80233047 106977396 160466094 213954792 320932188 641864376