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643514240 = 2752343717
BaseRepresentation
bin100110010110110…
…011111110000000
31122211212220120202
4212112303332000
52304214423430
6143504424332
721642531545
oct4626637600
91584786522
10643514240
11300279856
1215b6180a8
13a3422b75
1461672bcc
153b765d45
hex265b3f80

643514240 has 64 divisors (see below), whose sum is σ = 1605324960. Its totient is φ = 246208512.

The previous prime is 643514231. The next prime is 643514281. The reversal of 643514240 is 42415346.

643514240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×6435142402 = 828221154165555200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7139 + ... + 36578.

Almost surely, 2643514240 is an apocalyptic number.

It is an amenable number.

643514240 is an abundant number, since it is smaller than the sum of its proper divisors (961810720).

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

643514240 is a wasteful number, since it uses less digits than its factorization.

643514240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43759 (or 43747 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

The square root of 643514240 is about 25367.5824626629. The cubic root of 643514240 is about 863.3483311928.

Adding to 643514240 its reverse (42415346), we get a palindrome (685929586).

The spelling of 643514240 in words is "six hundred forty-three million, five hundred fourteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 128 160 184 230 320 368 460 640 736 920 1472 1840 2944 3680 7360 14720 43717 87434 174868 218585 349736 437170 699472 874340 1005491 1398944 1748680 2010982 2797888 3497360 4021964 5027455 5595776 6994720 8043928 10054910 13989440 16087856 20109820 27978880 32175712 40219640 64351424 80439280 128702848 160878560 321757120 643514240