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645443640 = 23345199211
BaseRepresentation
bin100110011110001…
…011000000111000
31122222111221020000
4212132023000320
52310213144030
6144014033000
721665115612
oct4636130070
91588457200
10645443640
113013773a6
121601a8760
13a394a11a
1461a15db2
153b9e7860
hex2678b038

645443640 has 80 divisors (see below), whose sum is σ = 2169418680. Its totient is φ = 172117440.

The previous prime is 645443627. The next prime is 645443671. The reversal of 645443640 is 46344546.

645443640 is a `hidden beast` number, since 6 + 4 + 5 + 4 + 4 + 3 + 640 = 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 = 645443595 and 645443604.

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 19 ways as a sum of consecutive naturals, for example, 96366 + ... + 102845.

Almost surely, 2645443640 is an apocalyptic number.

645443640 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

645443640 is an abundant number, since it is smaller than the sum of its proper divisors (1523975040).

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

645443640 is a wasteful number, since it uses less digits than its factorization.

645443640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199234 (or 199221 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The square root of 645443640 is about 25405.5828510192. The cubic root of 645443640 is about 864.2103076008.

The spelling of 645443640 in words is "six hundred forty-five million, four hundred forty-three thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 199211 398422 597633 796844 996055 1195266 1593688 1792899 1992110 2390532 2988165 3585798 3984220 4781064 5378697 5976330 7171596 7968440 8964495 10757394 11952660 14343192 16136091 17928990 21514788 23905320 26893485 32272182 35857980 43029576 53786970 64544364 71715960 80680455 107573940 129088728 161360910 215147880 322721820 645443640