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643320456 = 233292333967
BaseRepresentation
bin100110010110000…
…100101010001000
31122211112001202120
4212112010222020
52304142223311
6143500331240
721641063562
oct4626045210
91584461676
10643320456
113001571a9
1215b543b20
13a33858bc
1461622332
153b728706
hex26584a88

643320456 has 64 divisors (see below), whose sum is σ = 1671321600. Its totient is φ = 206105088.

The previous prime is 643320439. The next prime is 643320493. The reversal of 643320456 is 654023346.

It is a super-2 number, since 2×6433204562 = 827722418216095872, which contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 160185 + ... + 164151.

It is an arithmetic number, because the mean of its divisors is an integer number (26114400).

Almost surely, 2643320456 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 643320456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (835660800).

643320456 is an abundant number, since it is smaller than the sum of its proper divisors (1028001144).

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

643320456 is a wasteful number, since it uses less digits than its factorization.

643320456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4238 (or 4234 counting only the distinct ones).

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

The square root of 643320456 is about 25363.7626546220. The cubic root of 643320456 is about 863.2616613214.

The spelling of 643320456 in words is "six hundred forty-three million, three hundred twenty thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 116 174 232 233 348 466 696 699 932 1398 1864 2796 3967 5592 6757 7934 11901 13514 15868 20271 23802 27028 31736 40542 47604 54056 81084 95208 115043 162168 230086 345129 460172 690258 920344 924311 1380516 1848622 2761032 2772933 3697244 5545866 7394488 11091732 22183464 26805019 53610038 80415057 107220076 160830114 214440152 321660228 643320456