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644334876 = 2232293143463
BaseRepresentation
bin100110011001111…
…100010100011100
31122220102121021200
4212121330110130
52304422204001
6143534155500
721652520223
oct4631742434
91586377250
10644334876
1130078a369
1215b952b90
13a364c553
1461807cba
153b879086
hex2667c51c

644334876 has 144 divisors (see below), whose sum is σ = 1783541760. Its totient is φ = 195592320.

The previous prime is 644334863. The next prime is 644334877. The reversal of 644334876 is 678433446.

644334876 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

Its product of digits (1161216) is a multiple of the sum of its prime factors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (644334877) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1391421 + ... + 1391883.

Almost surely, 2644334876 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 644334876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (891770880).

644334876 is an abundant number, since it is smaller than the sum of its proper divisors (1139206884).

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

644334876 is a wasteful number, since it uses less digits than its factorization.

644334876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 571 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 45.

The square root of 644334876 is about 25383.7522049046. The cubic root of 644334876 is about 863.7151678133.

The spelling of 644334876 in words is "six hundred forty-four million, three hundred thirty-four thousand, eight hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 29 31 36 43 58 62 86 87 93 116 124 129 172 174 186 258 261 279 348 372 387 463 516 522 558 774 899 926 1044 1116 1247 1333 1389 1548 1798 1852 2494 2666 2697 2778 3596 3741 3999 4167 4988 5332 5394 5556 7482 7998 8091 8334 10788 11223 11997 13427 14353 14964 15996 16182 16668 19909 22446 23994 26854 28706 32364 38657 39818 40281 43059 44892 47988 53708 57412 59727 77314 79636 80562 86118 115971 119454 120843 129177 154628 161124 172236 179181 231942 238908 241686 258354 347913 358362 416237 463884 483372 516708 577361 617179 695826 716724 832474 1154722 1234358 1248711 1391652 1664948 1732083 1851537 2309444 2468716 2497422 3464166 3703074 3746133 4994844 5196249 5554611 6928332 7406148 7492266 10392498 11109222 14984532 17898191 20784996 22218444 35796382 53694573 71592764 107389146 161083719 214778292 322167438 644334876