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643465320 = 233567163491
BaseRepresentation
bin100110010110101…
…000000001101000
31122211210102110220
4212112220001220
52304211342240
6143503410040
721642236121
oct4626500150
91584712426
10643465320
11300246023
1215b5b3920
13a3406814
146165d048
153b7565d0
hex265a8068

643465320 has 128 divisors (see below), whose sum is σ = 1975242240. Its totient is φ = 167650560.

The previous prime is 643465313. The next prime is 643465321. The reversal of 643465320 is 23564346.

It is not an unprimeable number, because it can be changed into a prime (643465321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1310275 + ... + 1310765.

It is an arithmetic number, because the mean of its divisors is an integer number (15431580).

Almost surely, 2643465320 is an apocalyptic number.

643465320 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 643465320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (987621120).

643465320 is an abundant number, since it is smaller than the sum of its proper divisors (1331776920).

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

643465320 is a wasteful number, since it uses less digits than its factorization.

643465320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 33.

The square root of 643465320 is about 25366.6182215919. The cubic root of 643465320 is about 863.3264533705.

The spelling of 643465320 in words is "six hundred forty-three million, four hundred sixty-five thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 67 120 134 163 201 268 326 335 402 489 491 536 652 670 804 815 978 982 1005 1304 1340 1473 1608 1630 1956 1964 2010 2445 2455 2680 2946 3260 3912 3928 4020 4890 4910 5892 6520 7365 8040 9780 9820 10921 11784 14730 19560 19640 21842 29460 32763 32897 43684 54605 58920 65526 65794 80033 87368 98691 109210 131052 131588 160066 163815 164485 197382 218420 240099 262104 263176 320132 327630 328970 394764 400165 436840 480198 493455 640264 655260 657940 789528 800330 960396 986910 1200495 1310520 1315880 1600660 1920792 1973820 2400990 3201320 3947640 4801980 5362211 9603960 10724422 16086633 21448844 26811055 32173266 42897688 53622110 64346532 80433165 107244220 128693064 160866330 214488440 321732660 643465320