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64340640 = 25325713491
BaseRepresentation
bin1111010101110…
…0001010100000
311111001211202200
43311130022200
5112432400030
610215013200
71410613020
oct365341240
9144054680
1064340640
1133356091
121966a200
13104398b0
14878ba80
1559add60
hex3d5c2a0

64340640 has 288 divisors, whose sum is σ = 270781056. Its totient is φ = 13547520.

The previous prime is 64340623. The next prime is 64340651. The reversal of 64340640 is 4604346.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 130795 + ... + 131285.

It is an arithmetic number, because the mean of its divisors is an integer number (940212).

Almost surely, 264340640 is an apocalyptic number.

64340640 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 64340640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135390528).

64340640 is an abundant number, since it is smaller than the sum of its proper divisors (206440416).

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

64340640 is a wasteful number, since it uses less digits than its factorization.

64340640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 64340640 is about 8021.2617461345. The cubic root of 64340640 is about 400.7084113096.

Adding to 64340640 its reverse (4604346), we get a palindrome (68944986).

It can be divided in two parts, 64340 and 640, that added together give a triangular number (64980 = T360).

The spelling of 64340640 in words is "sixty-four million, three hundred forty thousand, six hundred forty".