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644606240 = 255101113353
BaseRepresentation
bin100110011010111…
…110100100100000
31122220221101112012
4212122332210200
52310004344430
6143544052052
721655030325
oct4632764440
91586841465
10644606240
11300955233
1215ba64028
13a3715c15
1461878b4c
153b8ce695
hex266be920

644606240 has 96 divisors (see below), whose sum is σ = 1555965936. Its totient is φ = 252313600.

The previous prime is 644606233. The next prime is 644606243. The reversal of 644606240 is 42606446.

It can be written as a sum of positive squares in 8 ways, for example, as 226321936 + 418284304 = 15044^2 + 20452^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 644606197 and 644606206.

It is not an unprimeable number, because it can be changed into a prime (644606243) 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, 1825904 + ... + 1826256.

Almost surely, 2644606240 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 644606240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777982968).

644606240 is an abundant number, since it is smaller than the sum of its proper divisors (911359696).

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

644606240 is a wasteful number, since it uses less digits than its factorization.

644606240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

The square root of 644606240 is about 25389.0968724766. The cubic root of 644606240 is about 863.8364030672.

The spelling of 644606240 in words is "six hundred forty-four million, six hundred six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 101 113 160 202 226 353 404 452 505 565 706 808 904 1010 1130 1412 1616 1765 1808 2020 2260 2824 3232 3530 3616 4040 4520 5648 7060 8080 9040 11296 11413 14120 16160 18080 22826 28240 35653 39889 45652 56480 57065 71306 79778 91304 114130 142612 159556 178265 182608 199445 228260 285224 319112 356530 365216 398890 456520 570448 638224 713060 797780 913040 1140896 1276448 1426120 1595560 1826080 2852240 3191120 4028789 5704480 6382240 8057578 16115156 20143945 32230312 40287890 64460624 80575780 128921248 161151560 322303120 644606240