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644450432 = 2723457479
BaseRepresentation
bin100110011010011…
…000100010000000
31122220122110210112
4212122120202000
52304434403212
6143540450452
721653511143
oct4632304200
91586573715
10644450432
1130085916a
1215b9a9a28
13a3690022
146183805a
153b89d422
hex26698880

644450432 has 64 divisors (see below), whose sum is σ = 1345420800. Its totient is φ = 306898944.

The previous prime is 644450419. The next prime is 644450449. The reversal of 644450432 is 234054446.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1345169 + ... + 1345647.

It is an arithmetic number, because the mean of its divisors is an integer number (21022200).

Almost surely, 2644450432 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 644450432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672710400).

644450432 is an abundant number, since it is smaller than the sum of its proper divisors (700970368).

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

644450432 is a wasteful number, since it uses less digits than its factorization.

644450432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 973 (or 961 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 32.

The square root of 644450432 is about 25386.0282832900. The cubic root of 644450432 is about 863.7667980590.

The spelling of 644450432 in words is "six hundred forty-four million, four hundred fifty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 368 457 479 736 914 958 1472 1828 1916 2944 3656 3832 7312 7664 10511 11017 14624 15328 21022 22034 29248 30656 42044 44068 58496 61312 84088 88136 168176 176272 218903 336352 352544 437806 672704 705088 875612 1345408 1410176 1751224 3502448 5034769 7004896 10069538 14009792 20139076 28019584 40278152 80556304 161112608 322225216 644450432