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641349632 = 211731183
BaseRepresentation
bin100110001110100…
…011100000000000
31122200210221022002
4212032203200000
52303141142012
6143350203132
721615245000
oct4616434000
91580727262
10641349632
112aa030520
1215a9534a8
13a2b45831
146126c000
153b4897c2
hex263a3800

641349632 has 192 divisors, whose sum is σ = 1651104000. Its totient is φ = 246865920.

The previous prime is 641349629. The next prime is 641349637. The reversal of 641349632 is 236943146.

It is a happy number.

It is a super-2 number, since 2×6413496322 = 822658700933070848, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (641349637) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7727063 + ... + 7727145.

It is an arithmetic number, because the mean of its divisors is an integer number (8599500).

Almost surely, 2641349632 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 641349632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825552000).

641349632 is an abundant number, since it is smaller than the sum of its proper divisors (1009754368).

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

641349632 is an equidigital number, since it uses as much as digits as its factorization.

641349632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 103 counting only the distinct ones).

The product of its digits is 93312, while the sum is 38.

The square root of 641349632 is about 25324.8816779072. The cubic root of 641349632 is about 862.3792202785.

The spelling of 641349632 in words is "six hundred forty-one million, three hundred forty-nine thousand, six hundred thirty-two".