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641663440 = 245111938377
BaseRepresentation
bin100110001111110…
…000000111010000
31122201101212202121
4212033300013100
52303231212230
6143401024024
721621022615
oct4617600720
91581355677
10641663440
112aa225270
1215aa85014
13a2c25612
146131050c
153b4ec77a
hex263f01d0

641663440 has 80 divisors (see below), whose sum is σ = 1713193920. Its totient is φ = 221045760.

The previous prime is 641663437. The next prime is 641663441. The reversal of 641663440 is 44366146.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 641663396 and 641663405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (641663441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2469 + ... + 35908.

It is an arithmetic number, because the mean of its divisors is an integer number (21414924).

Almost surely, 2641663440 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 641663440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (856596960).

641663440 is an abundant number, since it is smaller than the sum of its proper divisors (1071530480).

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

641663440 is a wasteful number, since it uses less digits than its factorization.

641663440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38420 (or 38414 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 34.

The square root of 641663440 is about 25331.0765661470. The cubic root of 641663440 is about 862.5198494347.

The spelling of 641663440 in words is "six hundred forty-one million, six hundred sixty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 38 40 44 55 76 80 88 95 110 152 176 190 209 220 304 380 418 440 760 836 880 1045 1520 1672 2090 3344 4180 8360 16720 38377 76754 153508 191885 307016 383770 422147 614032 729163 767540 844294 1458326 1535080 1688588 2110735 2916652 3070160 3377176 3645815 4221470 5833304 6754352 7291630 8020793 8442940 11666608 14583260 16041586 16885880 29166520 32083172 33771760 40103965 58333040 64166344 80207930 128332688 160415860 320831720 641663440