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643214208 = 27371379233
BaseRepresentation
bin100110010101101…
…010101110000000
31122211022200000110
4212111222232000
52304130323313
6143454151320
721640142040
oct4625525600
91584280013
10643214208
1130009439a
1215b4b2540
13a3349430
14615d5720
153b706ec3
hex2656ab80

643214208 has 256 divisors, whose sum is σ = 2138572800. Its totient is φ = 166772736.

The previous prime is 643214189. The next prime is 643214213. The reversal of 643214208 is 802412346.

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 31 ways as a sum of consecutive naturals, for example, 2760460 + ... + 2760692.

It is an arithmetic number, because the mean of its divisors is an integer number (8353800).

Almost surely, 2643214208 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 643214208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1069286400).

643214208 is an abundant number, since it is smaller than the sum of its proper divisors (1495358592).

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

643214208 is a wasteful number, since it uses less digits than its factorization.

643214208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 643214208 is about 25361.6680839412. The cubic root of 643214208 is about 863.2141345282.

The spelling of 643214208 in words is "six hundred forty-three million, two hundred fourteen thousand, two hundred eight".