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644362368 = 27313294451
BaseRepresentation
bin100110011010000…
…011000010000000
31122220110222222220
4212122003002000
52304424043433
6143534531040
721652663326
oct4632030200
91586428886
10644362368
113007a8a91
1215b966a80
13a365bc10
1461813d16
153b8822b3
hex26683080

644362368 has 128 divisors (see below), whose sum is σ = 1907236800. Its totient is φ = 191385600.

The previous prime is 644362357. The next prime is 644362379. The reversal of 644362368 is 863263446.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (644362357) and next prime (644362379).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×6443623682 = 830405722589134848, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142543 + ... + 146993.

Almost surely, 2644362368 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 644362368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (953618400).

644362368 is an abundant number, since it is smaller than the sum of its proper divisors (1262874432).

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

644362368 is a wasteful number, since it uses less digits than its factorization.

644362368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4510 (or 4498 counting only the distinct ones).

The product of its digits is 497664, while the sum is 42.

The square root of 644362368 is about 25384.2937266334. The cubic root of 644362368 is about 863.7274517568.

The spelling of 644362368 in words is "six hundred forty-four million, three hundred sixty-two thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 29 32 39 48 52 58 64 78 87 96 104 116 128 156 174 192 208 232 312 348 377 384 416 464 624 696 754 832 928 1131 1248 1392 1508 1664 1856 2262 2496 2784 3016 3712 4451 4524 4992 5568 6032 8902 9048 11136 12064 13353 17804 18096 24128 26706 35608 36192 48256 53412 57863 71216 72384 106824 115726 129079 142432 144768 173589 213648 231452 258158 284864 347178 387237 427296 462904 516316 569728 694356 774474 854592 925808 1032632 1388712 1548948 1678027 1709184 1851616 2065264 2777424 3097896 3356054 3703232 4130528 5034081 5554848 6195792 6712108 7406464 8261056 10068162 11109696 12391584 13424216 16522112 20136324 22219392 24783168 26848432 40272648 49566336 53696864 80545296 107393728 161090592 214787456 322181184 644362368