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644101368 = 233192953919
BaseRepresentation
bin100110011001000…
…011010011111000
31122212222201222020
4212121003103320
52304342220433
6143525154440
721650525361
oct4631032370
91585881866
10644101368
1130063a989
1215b85ba20
13a359a191
1461786b68
153b82ecb3
hex266434f8

644101368 has 128 divisors (see below), whose sum is σ = 1788480000. Its totient is φ = 192471552.

The previous prime is 644101319. The next prime is 644101369. The reversal of 644101368 is 863101446.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (644101369) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 700413 + ... + 701331.

It is an arithmetic number, because the mean of its divisors is an integer number (13972500).

Almost surely, 2644101368 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 644101368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (894240000).

644101368 is an abundant number, since it is smaller than the sum of its proper divisors (1144378632).

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

644101368 is a wasteful number, since it uses less digits than its factorization.

644101368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1029 (or 1025 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 644101368 is about 25379.1522317039. The cubic root of 644101368 is about 863.6108179493.

The spelling of 644101368 in words is "six hundred forty-four million, one hundred one thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 19 24 29 38 53 57 58 76 87 106 114 116 152 159 174 212 228 232 318 348 424 456 551 636 696 919 1007 1102 1272 1537 1653 1838 2014 2204 2757 3021 3074 3306 3676 4028 4408 4611 5514 6042 6148 6612 7352 8056 9222 11028 12084 12296 13224 17461 18444 22056 24168 26651 29203 34922 36888 48707 52383 53302 58406 69844 79953 87609 97414 104766 106604 116812 139688 146121 159906 175218 194828 209532 213208 233624 292242 319812 350436 389656 419064 506369 584484 639624 700872 925433 1012738 1168968 1412503 1519107 1850866 2025476 2776299 2825006 3038214 3701732 4050952 4237509 5552598 5650012 6076428 7403464 8475018 11105196 11300024 12152856 16950036 22210392 26837557 33900072 53675114 80512671 107350228 161025342 214700456 322050684 644101368