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325016064 = 293417461
BaseRepresentation
bin10011010111110…
…101101000000000
3211122120112020000
4103113311220000
51131201003224
652130120000
711024406462
oct2327655000
9748515200
10325016064
1115751041a
1290a20000
13524493c9
1431246132
151d8010c9
hex135f5a00

325016064 has 200 divisors, whose sum is σ = 1029379428. Its totient is φ = 101744640.

The previous prime is 325016063. The next prime is 325016077. The reversal of 325016064 is 460610523.

325016064 is a `hidden beast` number, since 3 + 2 + 50 + 1 + 606 + 4 = 666.

325016064 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 324000000 + 1016064 = 18000^2 + 1008^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (325016063) 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 19 ways as a sum of consecutive naturals, for example, 704794 + ... + 705254.

Almost surely, 2325016064 is an apocalyptic number.

325016064 is a gapful number since it is divisible by the number (34) 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 325016064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514689714).

325016064 is an abundant number, since it is smaller than the sum of its proper divisors (704363364).

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

325016064 is an equidigital number, since it uses as much as digits as its factorization.

325016064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 325016064 is about 18028.2019070122. The cubic root of 325016064 is about 687.5457610973.

Adding to 325016064 its reverse (460610523), we get a palindrome (785626587).

The spelling of 325016064 in words is "three hundred twenty-five million, sixteen thousand, sixty-four".