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641373440 = 2851094597
BaseRepresentation
bin100110001110101…
…001010100000000
31122200212010221212
4212032221110000
52303142422230
6143350505252
721615404261
oct4616512400
91580763855
10641373440
112aa0473a4
1215a965228
13a2b53616
1461276968
153b491895
hex263a9500

641373440 has 72 divisors (see below), whose sum is σ = 1550721480. Its totient is φ = 254140416.

The previous prime is 641373437. The next prime is 641373449. The reversal of 641373440 is 44373146.

It can be written as a sum of positive squares in 4 ways, for example, as 17572864 + 623800576 = 4192^2 + 24976^2 .

It is a super-2 number, since 2×6413734402 = 822719779074867200, which contains 22 as substring.

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 = 641373397 and 641373406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (641373449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 137222 + ... + 141818.

Almost surely, 2641373440 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 641373440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (775360740).

641373440 is an abundant number, since it is smaller than the sum of its proper divisors (909348040).

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

641373440 is a wasteful number, since it uses less digits than its factorization.

641373440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4727 (or 4713 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 32.

The square root of 641373440 is about 25325.3517250995. The cubic root of 641373440 is about 862.3898911458.

The spelling of 641373440 in words is "six hundred forty-one million, three hundred seventy-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 109 128 160 218 256 320 436 545 640 872 1090 1280 1744 2180 3488 4360 4597 6976 8720 9194 13952 17440 18388 22985 27904 34880 36776 45970 69760 73552 91940 139520 147104 183880 294208 367760 501073 588416 735520 1002146 1176832 1471040 2004292 2505365 2942080 4008584 5010730 5884160 8017168 10021460 16034336 20042920 32068672 40085840 64137344 80171680 128274688 160343360 320686720 641373440