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644342688 = 253101131
BaseRepresentation
bin100110011001111…
…110001110100000
31122220110000000000
4212121332032200
52304422431223
6143534300000
721652552053
oct4631761640
91586400000
10644342688
11300795220
1215b957600
13a3652c82
146180aa9a
153b87b543
hex2667e3a0

644342688 has 264 divisors, whose sum is σ = 2142758016. Its totient is φ = 188956800.

The previous prime is 644342683. The next prime is 644342711. The reversal of 644342688 is 886243446.

644342688 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 (264).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (644342683) by changing a digit.

It is a polite number, since it can be written in 43 ways as a sum of consecutive naturals, for example, 20785233 + ... + 20785263.

Almost surely, 2644342688 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 644342688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1071379008).

644342688 is an abundant number, since it is smaller than the sum of its proper divisors (1498415328).

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

644342688 is an equidigital number, since it uses as much as digits as its factorization.

644342688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 47 counting only the distinct ones).

The product of its digits is 884736, while the sum is 45.

The square root of 644342688 is about 25383.9060823980. The cubic root of 644342688 is about 863.7186583976.

The spelling of 644342688 in words is "six hundred forty-four million, three hundred forty-two thousand, six hundred eighty-eight".