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64352640 = 2735112277
BaseRepresentation
bin1111010101111…
…1000110000000
311111002110020010
43311133012000
5112433241030
610215144520
71410663012
oct365370600
9144073203
1064352640
1133364100
1219675140
13104421b1
1487921b2
1559b26b0
hex3d5f180

64352640 has 192 divisors, whose sum is σ = 226280880. Its totient is φ = 15544320.

The previous prime is 64352627. The next prime is 64352641. The reversal of 64352640 is 4625346.

64352640 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 (192).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 64352598 and 64352607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64352641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 232182 + ... + 232458.

Almost surely, 264352640 is an apocalyptic number.

64352640 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 64352640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113140440).

64352640 is an abundant number, since it is smaller than the sum of its proper divisors (161928240).

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

64352640 is a wasteful number, since it uses less digits than its factorization.

64352640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 64352640 is about 8022.0097232551. The cubic root of 64352640 is about 400.7333214443.

Adding to 64352640 its reverse (4625346), we get a palindrome (68977986).

The spelling of 64352640 in words is "sixty-four million, three hundred fifty-two thousand, six hundred forty".