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644366268 = 2232721328099
BaseRepresentation
bin100110011010000…
…011111110111100
31122220111012100100
4212122003332330
52304424210033
6143535001100
721653010600
oct4632037674
91586435310
10644366268
11300800a07
1215b969190
13a3660920
1461815500
153b883513
hex26683fbc

644366268 has 108 divisors (see below), whose sum is σ = 2040565800. Its totient is φ = 169936704.

The previous prime is 644366257. The next prime is 644366297. The reversal of 644366268 is 862663446.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8883 + ... + 36981.

Almost surely, 2644366268 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 644366268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1020282900).

644366268 is an abundant number, since it is smaller than the sum of its proper divisors (1396199532).

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

644366268 is a wasteful number, since it uses less digits than its factorization.

644366268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28136 (or 28124 counting only the distinct ones).

The product of its digits is 995328, while the sum is 45.

The square root of 644366268 is about 25384.3705456724. The cubic root of 644366268 is about 863.7291943220.

The spelling of 644366268 in words is "six hundred forty-four million, three hundred sixty-six thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 49 52 63 78 84 91 98 117 126 147 156 182 196 234 252 273 294 364 441 468 546 588 637 819 882 1092 1274 1638 1764 1911 2548 3276 3822 5733 7644 11466 22932 28099 56198 84297 112396 168594 196693 252891 337188 365287 393386 505782 590079 730574 786772 1011564 1095861 1180158 1376851 1461148 1770237 2191722 2360316 2557009 2753702 3287583 3540474 4130553 4383444 5114018 5507404 6575166 7080948 7671027 8261106 10228036 12391659 13150332 15342054 16522212 17899063 23013081 24783318 30684108 35798126 46026162 49566636 53697189 71596252 92052324 107394378 161091567 214788756 322183134 644366268