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644068080 = 243251923289
BaseRepresentation
bin100110011000111…
…011001011110000
31122212221001022100
4212120323023300
52304340134310
6143524340400
721650326335
oct4630731360
91585831270
10644068080
11300617977
1215b844700
13a3587c96
146177898c
153b824ec0
hex2663b2f0

644068080 has 360 divisors, whose sum is σ = 2406877200. Its totient is φ = 153888768.

The previous prime is 644068063. The next prime is 644068091. The reversal of 644068080 is 80860446.

644068080 is a `hidden beast` number, since 644 + 0 + 6 + 8 + 0 + 8 + 0 = 666.

644068080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7236676 + ... + 7236764.

It is an arithmetic number, because the mean of its divisors is an integer number (6685770).

Almost surely, 2644068080 is an apocalyptic number.

644068080 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 644068080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1203438600).

644068080 is an abundant number, since it is smaller than the sum of its proper divisors (1762809120).

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

644068080 is a wasteful number, since it uses less digits than its factorization.

644068080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 644068080 is about 25378.4964093620. The cubic root of 644068080 is about 863.5959401813.

The spelling of 644068080 in words is "six hundred forty-four million, sixty-eight thousand, eighty".