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644081364 = 2232107271617
BaseRepresentation
bin100110011000111…
…110011011010100
31122212221201112100
4212120332123110
52304341100424
6143524522100
721650413143
oct4630763324
91585851470
10644081364
11300626953
1215b850330
13a3591044
146177d75a
153b828dc9
hex2663e6d4

644081364 has 72 divisors (see below), whose sum is σ = 1652047488. Its totient is φ = 211559040.

The previous prime is 644081357. The next prime is 644081369. The reversal of 644081364 is 463180446.

644081364 is a `hidden beast` number, since 644 + 0 + 8 + 1 + 3 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (644081369) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1043584 + ... + 1044200.

It is an arithmetic number, because the mean of its divisors is an integer number (22945104).

Almost surely, 2644081364 is an apocalyptic number.

It is an amenable number.

644081364 is an abundant number, since it is smaller than the sum of its proper divisors (1007966124).

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

644081364 is a wasteful number, since it uses less digits than its factorization.

644081364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1005 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 644081364 is about 25378.7581256452. The cubic root of 644081364 is about 863.6018774054.

The spelling of 644081364 in words is "six hundred forty-four million, eighty-one thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 107 214 271 321 428 542 617 642 813 963 1084 1234 1284 1626 1851 1926 2439 2468 3252 3702 3852 4878 5553 7404 9756 11106 22212 28997 57994 66019 86991 115988 132038 167207 173982 198057 260973 264076 334414 347964 396114 501621 521946 594171 668828 792228 1003242 1043892 1188342 1504863 2006484 2376684 3009726 6019452 17891149 35782298 53673447 71564596 107346894 161020341 214693788 322040682 644081364