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643424040 = 23335785109
BaseRepresentation
bin100110010110011…
…101111100101000
31122211201022212000
4212112131330220
52304204032130
6143502451000
721642004560
oct4626357450
91584638760
10643424040
11300218006
1215b593a60
13a33c0aac
146164bda0
153b749260
hex2659df28

643424040 has 128 divisors (see below), whose sum is σ = 2451168000. Its totient is φ = 147066624.

The previous prime is 643424039. The next prime is 643424069. The reversal of 643424040 is 40424346.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 643423995 and 643424013.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34995 + ... + 50114.

It is an arithmetic number, because the mean of its divisors is an integer number (19149750).

Almost surely, 2643424040 is an apocalyptic number.

643424040 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

643424040 is an abundant number, since it is smaller than the sum of its proper divisors (1807743960).

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

643424040 is a wasteful number, since it uses less digits than its factorization.

643424040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85136 (or 85126 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 643424040 is about 25365.8045407592. The cubic root of 643424040 is about 863.3079914182.

Adding to 643424040 its reverse (40424346), we get a palindrome (683848386).

The spelling of 643424040 in words is "six hundred forty-three million, four hundred twenty-four thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 84 90 105 108 120 126 135 140 168 180 189 210 216 252 270 280 315 360 378 420 504 540 630 756 840 945 1080 1260 1512 1890 2520 3780 7560 85109 170218 255327 340436 425545 510654 595763 680872 765981 851090 1021308 1191526 1276635 1531962 1702180 1787289 2042616 2297943 2383052 2553270 2978815 3063924 3404360 3574578 3829905 4595886 4766104 5106540 5361867 5957630 6127848 7149156 7659810 8936445 9191772 10213080 10723734 11489715 11915260 14298312 15319620 16085601 17872890 18383544 21447468 22979430 23830520 26809335 30639240 32171202 35745780 42894936 45958860 53618670 64342404 71491560 80428005 91917720 107237340 128684808 160856010 214474680 321712020 643424040