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643763320 = 235194319699
BaseRepresentation
bin100110010111110…
…000110001111000
31122212100120020221
4212113300301320
52304300411240
6143514025424
721644616664
oct4627606170
91585316227
10643763320
11300429a02
1215b718274
13a34ac355
14616d98a4
153b7b4a4a
hex265f0c78

643763320 has 64 divisors (see below), whose sum is σ = 1560240000. Its totient is φ = 238267008.

The previous prime is 643763299. The next prime is 643763347. The reversal of 643763320 is 23367346.

643763320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22831 + ... + 42529.

It is an arithmetic number, because the mean of its divisors is an integer number (24378750).

Almost surely, 2643763320 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 643763320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780120000).

643763320 is an abundant number, since it is smaller than the sum of its proper divisors (916476680).

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

643763320 is a wasteful number, since it uses less digits than its factorization.

643763320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19772 (or 19768 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 34.

The square root of 643763320 is about 25372.4914030924. The cubic root of 643763320 is about 863.4597066424.

The spelling of 643763320 in words is "six hundred forty-three million, seven hundred sixty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 43 76 86 95 152 172 190 215 344 380 430 760 817 860 1634 1720 3268 4085 6536 8170 16340 19699 32680 39398 78796 98495 157592 196990 374281 393980 748562 787960 847057 1497124 1694114 1871405 2994248 3388228 3742810 4235285 6776456 7485620 8470570 14971240 16094083 16941140 32188166 33882280 64376332 80470415 128752664 160940830 321881660 643763320