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643354740 = 2232571373727
BaseRepresentation
bin100110010110001…
…101000001110100
31122211120210210100
4212112031001310
52304144322430
6143501154100
721641265540
oct4626150164
91584523710
10643354740
1130017aa36
1215b55b930
13a33983a2
1461630a20
153b733960
hex2658d074

643354740 has 144 divisors (see below), whose sum is σ = 2247178752. Its totient is φ = 145939968.

The previous prime is 643354721. The next prime is 643354771. The reversal of 643354740 is 47453346.

It is a happy number.

643354740 is a `hidden beast` number, since 643 + 3 + 5 + 4 + 7 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 643354695 and 643354704.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 170757 + ... + 174483.

It is an arithmetic number, because the mean of its divisors is an integer number (15605408).

Almost surely, 2643354740 is an apocalyptic number.

643354740 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 643354740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1123589376).

643354740 is an abundant number, since it is smaller than the sum of its proper divisors (1603824012).

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

643354740 is a wasteful number, since it uses less digits than its factorization.

643354740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3886 (or 3881 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The square root of 643354740 is about 25364.4384917151. The cubic root of 643354740 is about 863.2769961035.

The spelling of 643354740 in words is "six hundred forty-three million, three hundred fifty-four thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 137 140 180 210 252 274 315 411 420 548 630 685 822 959 1233 1260 1370 1644 1918 2055 2466 2740 2877 3727 3836 4110 4795 4932 5754 6165 7454 8220 8631 9590 11181 11508 12330 14385 14908 17262 18635 19180 22362 24660 26089 28770 33543 34524 37270 43155 44724 52178 55905 57540 67086 74540 78267 86310 104356 111810 130445 134172 156534 167715 172620 223620 234801 260890 313068 335430 391335 469602 510599 521780 670860 782670 939204 1021198 1174005 1531797 1565340 2042396 2348010 2552995 3063594 3574193 4595391 4696020 5105990 6127188 7148386 7658985 9190782 10211980 10722579 14296772 15317970 17870965 18381564 21445158 22976955 30635940 32167737 35741930 42890316 45953910 53612895 64335474 71483860 91907820 107225790 128670948 160838685 214451580 321677370 643354740