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644613368 = 237107179601
BaseRepresentation
bin100110011011000…
…000010011111000
31122220221202022012
4212123000103320
52310010111433
6143544145052
721655060160
oct4633002370
91586852265
10644613368
1130095a623
1215ba68188
13a3719239
146187b5a0
153b8d1848
hex266c04f8

644613368 has 64 divisors (see below), whose sum is σ = 1404345600. Its totient is φ = 271699200.

The previous prime is 644613367. The next prime is 644613419. The reversal of 644613368 is 863316446.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (644613367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1072268 + ... + 1072868.

It is an arithmetic number, because the mean of its divisors is an integer number (21942900).

Almost surely, 2644613368 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 644613368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702172800).

644613368 is an abundant number, since it is smaller than the sum of its proper divisors (759732232).

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

644613368 is a wasteful number, since it uses less digits than its factorization.

644613368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900 (or 896 counting only the distinct ones).

The product of its digits is 248832, while the sum is 41.

The square root of 644613368 is about 25389.2372473062. The cubic root of 644613368 is about 863.8395871315.

The spelling of 644613368 in words is "six hundred forty-four million, six hundred thirteen thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 14 28 56 107 179 214 358 428 601 716 749 856 1202 1253 1432 1498 2404 2506 2996 4207 4808 5012 5992 8414 10024 16828 19153 33656 38306 64307 76612 107579 128614 134071 153224 215158 257228 268142 430316 450149 514456 536284 753053 860632 900298 1072568 1506106 1800596 3012212 3601192 6024424 11510953 23021906 46043812 80576671 92087624 161153342 322306684 644613368