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643406868 = 223313487941
BaseRepresentation
bin100110010110011…
…001110000010100
31122211200110022000
4212112121300110
52304203004433
6143502235300
721641603526
oct4626316024
91584613260
10643406868
11300206115
1215b585b30
13a33b6030
1461645a16
153b744113
hex26599c14

643406868 has 96 divisors (see below), whose sum is σ = 1802008320. Its totient is φ = 197354880.

The previous prime is 643406867. The next prime is 643406879. The reversal of 643406868 is 868604346.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (643406867) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 683278 + ... + 684218.

It is an arithmetic number, because the mean of its divisors is an integer number (18770920).

Almost surely, 2643406868 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 643406868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (901004160).

643406868 is an abundant number, since it is smaller than the sum of its proper divisors (1158601452).

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

643406868 is a wasteful number, since it uses less digits than its factorization.

643406868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1454 (or 1446 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The square root of 643406868 is about 25365.4660513068. The cubic root of 643406868 is about 863.3003112281.

The spelling of 643406868 in words is "six hundred forty-three million, four hundred six thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 351 468 487 702 941 974 1404 1461 1882 1948 2823 2922 3764 4383 5646 5844 6331 8469 8766 11292 12233 12662 13149 16938 17532 18993 24466 25324 25407 26298 33876 36699 37986 48932 50814 52596 56979 73398 75972 101628 110097 113958 146796 170937 220194 227916 330291 341874 440388 458267 660582 683748 916534 1321164 1374801 1833068 2749602 4124403 5499204 5957471 8248806 11914942 12373209 16497612 17872413 23829884 24746418 35744826 49492836 53617239 71489652 107234478 160851717 214468956 321703434 643406868