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444326064 = 243713101723
BaseRepresentation
bin11010011110111…
…110000010110000
31010222002002202220
4122132332002300
51402221413224
6112031241040
714003465160
oct3236760260
91128062686
10444326064
112088a0826
12104979180
1371091240
14430225a0
152901c279
hex1a7be0b0

444326064 has 80 divisors (see below), whose sum is σ = 1412742912. Its totient is φ = 117183744.

The previous prime is 444326063. The next prime is 444326087. The reversal of 444326064 is 460623444.

It is a super-2 number, since 2×4443260642 = 394851302299464192, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (444326063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46494 + ... + 55229.

Almost surely, 2444326064 is an apocalyptic number.

It is an amenable number.

444326064 is an abundant number, since it is smaller than the sum of its proper divisors (968416848).

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

444326064 is a wasteful number, since it uses less digits than its factorization.

444326064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101754 (or 101748 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

The square root of 444326064 is about 21079.0432420449. The cubic root of 444326064 is about 763.0750664619.

The spelling of 444326064 in words is "four hundred forty-four million, three hundred twenty-six thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 182 208 273 312 336 364 546 624 728 1092 1456 2184 4368 101723 203446 305169 406892 610338 712061 813784 1220676 1322399 1424122 1627568 2136183 2441352 2644798 2848244 3967197 4272366 4882704 5289596 5696488 7934394 8544732 9256793 10579192 11392976 15868788 17089464 18513586 21158384 27770379 31737576 34178928 37027172 55540758 63475152 74054344 111081516 148108688 222163032 444326064