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64341120 = 2735233147
BaseRepresentation
bin1111010101110…
…0010010000000
311111001212102110
43311130102000
5112432403440
610215015320
71410614304
oct365342200
9144055373
1064341120
1133356488
121966a540
1310439b8c
14878bd04
1559ae080
hex3d5c480

64341120 has 256 divisors, whose sum is σ = 225607680. Its totient is φ = 15544320.

The previous prime is 64341103. The next prime is 64341139. The reversal of 64341120 is 2114346.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1368937 + ... + 1368983.

It is an arithmetic number, because the mean of its divisors is an integer number (881280).

Almost surely, 264341120 is an apocalyptic number.

64341120 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 64341120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112803840).

64341120 is an abundant number, since it is smaller than the sum of its proper divisors (161266560).

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

64341120 is a wasteful number, since it uses less digits than its factorization.

64341120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 64341120 is about 8021.2916665584. The cubic root of 64341120 is about 400.7094077744.

Adding to 64341120 its reverse (2114346), we get a palindrome (66455466).

The spelling of 64341120 in words is "sixty-four million, three hundred forty-one thousand, one hundred twenty".