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644654240 = 2557397569
BaseRepresentation
bin100110011011001…
…010010010100000
31122221000211100222
4212123022102200
52310012413430
6143545102212
721655320266
oct4633122240
91587024328
10644654240
113009882aa
1215ba87968
13a3731a19
146188c436
153b8dd9e5
hex266ca4a0

644654240 has 96 divisors (see below), whose sum is σ = 1562515920. Its totient is φ = 251265024.

The previous prime is 644654239. The next prime is 644654243. The reversal of 644654240 is 42456446.

It can be written as a sum of positive squares in 8 ways, for example, as 169937296 + 474716944 = 13036^2 + 21788^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 644654240.

It is not an unprimeable number, because it can be changed into a prime (644654243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1132676 + ... + 1133244.

Almost surely, 2644654240 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 644654240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (781257960).

644654240 is an abundant number, since it is smaller than the sum of its proper divisors (917861680).

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

644654240 is a wasteful number, since it uses less digits than its factorization.

644654240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 754 (or 746 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 35.

The square root of 644654240 is about 25390.0421425408. The cubic root of 644654240 is about 863.8578441246.

The spelling of 644654240 in words is "six hundred forty-four million, six hundred fifty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 73 80 97 146 160 194 292 365 388 485 569 584 730 776 970 1138 1168 1460 1552 1940 2276 2336 2845 2920 3104 3880 4552 5690 5840 7081 7760 9104 11380 11680 14162 15520 18208 22760 28324 35405 41537 45520 55193 56648 70810 83074 91040 110386 113296 141620 166148 207685 220772 226592 275965 283240 332296 415370 441544 551930 566480 664592 830740 883088 1103860 1132960 1329184 1661480 1766176 2207720 3322960 4029089 4415440 6645920 8058178 8830880 16116356 20145445 32232712 40290890 64465424 80581780 128930848 161163560 322327120 644654240