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644341716 = 22356011103
BaseRepresentation
bin100110011001111…
…101111111010100
31122220102221200000
4212121331333110
52304422413331
6143534251300
721652546164
oct4631757724
91586387600
10644341716
11300794517
1215b956b30
13a36526b5
146180a5a4
153b87b0e6
hex2667dfd4

644341716 has 72 divisors (see below), whose sum is σ = 1693421184. Its totient is φ = 214228800.

The previous prime is 644341703. The next prime is 644341741. The reversal of 644341716 is 617143446.

644341716 is a `hidden beast` number, since 644 + 3 + 4 + 1 + 7 + 1 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 583621 + ... + 584723.

Almost surely, 2644341716 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 644341716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846710592).

644341716 is an abundant number, since it is smaller than the sum of its proper divisors (1049079468).

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

644341716 is a wasteful number, since it uses less digits than its factorization.

644341716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1723 (or 1709 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 644341716 is about 25383.8869364012. The cubic root of 644341716 is about 863.7182240868.

The spelling of 644341716 in words is "six hundred forty-four million, three hundred forty-one thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 601 972 1103 1202 1803 2206 2404 3309 3606 4412 5409 6618 7212 9927 10818 13236 16227 19854 21636 29781 32454 39708 48681 59562 64908 89343 97362 119124 146043 178686 194724 268029 292086 357372 536058 584172 662903 1072116 1325806 1988709 2651612 3977418 5966127 7954836 11932254 17898381 23864508 35796762 53695143 71593524 107390286 161085429 214780572 322170858 644341716