Search a number
-
+
643425930 = 23457373067
BaseRepresentation
bin100110010110011…
…110011010001010
31122211201102110000
4212112132122022
52304204112210
6143502503430
721642013230
oct4626363212
91584642400
10643425930
11300219474
1215b594b76
13a33c1904
146164c950
153b749ac0
hex2659e68a

643425930 has 160 divisors (see below), whose sum is σ = 2031359616. Its totient is φ = 143047296.

The previous prime is 643425919. The next prime is 643425931. The reversal of 643425930 is 39524346.

643425930 is a `hidden beast` number, since 64 + 3 + 4 + 2 + 593 + 0 = 666.

643425930 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (643425931) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 208257 + ... + 211323.

Almost surely, 2643425930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 643425930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1015679808).

643425930 is an abundant number, since it is smaller than the sum of its proper divisors (1387933686).

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

643425930 is a wasteful number, since it uses less digits than its factorization.

643425930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3130 (or 3121 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 643425930 is about 25365.8417956117. The cubic root of 643425930 is about 863.3088367138.

The spelling of 643425930 in words is "six hundred forty-three million, four hundred twenty-five thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 37 42 45 54 63 70 74 81 90 105 111 126 135 162 185 189 210 222 259 270 315 333 370 378 405 518 555 567 630 666 777 810 945 999 1110 1134 1295 1554 1665 1890 1998 2331 2590 2835 2997 3067 3330 3885 4662 4995 5670 5994 6134 6993 7770 9201 9990 11655 13986 14985 15335 18402 20979 21469 23310 27603 29970 30670 34965 41958 42938 46005 55206 64407 69930 82809 92010 104895 107345 113479 128814 138015 165618 193221 209790 214690 226958 248427 276030 322035 340437 386442 414045 496854 567395 579663 644070 680874 794353 828090 966105 1021311 1134790 1159326 1242135 1588706 1702185 1738989 1932210 2042622 2383059 2484270 2898315 3063933 3404370 3477978 3971765 4766118 5106555 5796630 6127866 7149177 7943530 8694945 9191799 10213110 11915295 14298354 15319665 17389890 18383598 21447531 23830590 30639330 35745885 42895062 45958995 64342593 71491770 91917990 107237655 128685186 214475310 321712965 643425930