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641304216 = 2336723683
BaseRepresentation
bin100110001110011…
…000011010011000
31122200201122000000
4212032120122120
52303133213331
6143345213000
721614665410
oct4616303230
91580648000
10641304216
112a9aaa393
1215a931160
13a2b2ac67
1461259640
153b47b0e6
hex26398698

641304216 has 224 divisors, whose sum is σ = 2153122560. Its totient is φ = 175006656.

The previous prime is 641304211. The next prime is 641304263. The reversal of 641304216 is 612403146.

641304216 is a `hidden beast` number, since 641 + 3 + 0 + 4 + 2 + 16 = 666.

It is a super-2 number, since 2×6413042162 = 822542194918749312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 641304216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (641304211) 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 55 ways as a sum of consecutive naturals, for example, 938611 + ... + 939293.

Almost surely, 2641304216 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 641304216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1076561280).

641304216 is an abundant number, since it is smaller than the sum of its proper divisors (1511818344).

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

641304216 is a wasteful number, since it uses less digits than its factorization.

641304216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 641304216 is about 25323.9849944672. The cubic root of 641304216 is about 862.3588638628.

The spelling of 641304216 in words is "six hundred forty-one million, three hundred four thousand, two hundred sixteen".