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641465370 = 2325721367167
BaseRepresentation
bin100110001110111…
…111110000011010
31122201000211001200
4212032333300122
52303203342440
6143352455030
721616236300
oct4616776032
91581024050
10641465370
112aa0aa477
1215a9aa476
13a2b86410
146129c270
153b4adc30
hex263bfc1a

641465370 has 288 divisors, whose sum is σ = 2133226368. Its totient is φ = 132523776.

The previous prime is 641465347. The next prime is 641465431. The reversal of 641465370 is 73564146.

It is a happy number.

641465370 is a `hidden beast` number, since 641 + 4 + 6 + 5 + 3 + 7 + 0 = 666.

It is a super-2 number, since 2×6414653702 = 822955641818473800, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3841027 + ... + 3841193.

It is an arithmetic number, because the mean of its divisors is an integer number (7407036).

Almost surely, 2641465370 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 641465370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1066613184).

641465370 is an abundant number, since it is smaller than the sum of its proper divisors (1491760998).

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

641465370 is a wasteful number, since it uses less digits than its factorization.

641465370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 641465370 is about 25327.1666397961. The cubic root of 641465370 is about 862.4310921634.

The spelling of 641465370 in words is "six hundred forty-one million, four hundred sixty-five thousand, three hundred seventy".