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641400000 = 263551069
BaseRepresentation
bin100110001110101…
…111110011000000
31122200220111101120
4212032233303000
52303144300000
6143351232240
721615544563
oct4616576300
91580814346
10641400000
112aa06534a
1215a978680
13a2b62737
14612824da
153b4996a0
hex263afcc0

641400000 has 168 divisors, whose sum is σ = 2123145360. Its totient is φ = 170880000.

The previous prime is 641399999. The next prime is 641400017. The reversal of 641400000 is 4146.

641400000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×6414000002 = 822787920000000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 599466 + ... + 600534.

It is an arithmetic number, because the mean of its divisors is an integer number (12637770).

Almost surely, 2641400000 is an apocalyptic number.

641400000 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 641400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1061572680).

641400000 is an abundant number, since it is smaller than the sum of its proper divisors (1481745360).

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

641400000 is an equidigital number, since it uses as much as digits as its factorization.

641400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1109 (or 1079 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 641400000 is about 25325.8760954088. The cubic root of 641400000 is about 862.4017951620.

Adding to 641400000 its reverse (4146), we get a palindrome (641404146).

The spelling of 641400000 in words is "six hundred forty-one million, four hundred thousand".