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643378680 = 23335785103
BaseRepresentation
bin100110010110010…
…010110111111000
31122211122000122000
4212112102313320
52304201104210
6143501501000
721641425410
oct4626226770
91584560560
10643378680
11300196a1a
1215b571760
13a33a6259
1461639640
153b73aac0
hex26592df8

643378680 has 128 divisors (see below), whose sum is σ = 2450995200. Its totient is φ = 147056256.

The previous prime is 643378669. The next prime is 643378691. The reversal of 643378680 is 86873346.

It is an interprime number because it is at equal distance from previous prime (643378669) and next prime (643378691).

It is a super-2 number, since 2×6433786802 = 827872251757084800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 34992 + ... + 50111.

It is an arithmetic number, because the mean of its divisors is an integer number (19148400).

Almost surely, 2643378680 is an apocalyptic number.

643378680 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

643378680 is an abundant number, since it is smaller than the sum of its proper divisors (1807616520).

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

643378680 is a wasteful number, since it uses less digits than its factorization.

643378680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85130 (or 85120 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 643378680 is about 25364.9104078844. The cubic root of 643378680 is about 863.2877038275.

The spelling of 643378680 in words is "six hundred forty-three million, three hundred seventy-eight thousand, six hundred eighty".

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 85103 170206 255309 340412 425515 510618 595721 680824 765927 851030 1021236 1191442 1276545 1531854 1702060 1787163 2042472 2297781 2382884 2553090 2978605 3063708 3404120 3574326 3829635 4595562 4765768 5106180 5361489 5957210 6127416 7148652 7659270 8935815 9191124 10212360 10722978 11488905 11914420 14297304 15318540 16084467 17871630 18382248 21445956 22977810 23828840 26807445 30637080 32168934 35743260 42891912 45955620 53614890 64337868 71486520 80422335 91911240 107229780 128675736 160844670 214459560 321689340 643378680