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326568960 = 21032519373
BaseRepresentation
bin10011011101110…
…000110000000000
3211202111102101200
4103131300300000
51132100201320
652223301200
711043535044
oct2335606000
9752442350
10326568960
11158381103
129144a800
1352871193
143152c024
151da0b290
hex13770c00

326568960 has 264 divisors, whose sum is σ = 1194301680. Its totient is φ = 82280448.

The previous prime is 326568947. The next prime is 326568967. The reversal of 326568960 is 69865623.

It is a happy number.

326568960 is a `hidden beast` number, since 3 + 26 + 568 + 9 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (326568967) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 875334 + ... + 875706.

It is an arithmetic number, because the mean of its divisors is an integer number (4523870).

Almost surely, 2326568960 is an apocalyptic number.

326568960 is a gapful number since it is divisible by the number (30) 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 326568960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597150840).

326568960 is an abundant number, since it is smaller than the sum of its proper divisors (867732720).

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

326568960 is a wasteful number, since it uses less digits than its factorization.

326568960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 326568960 is about 18071.2191066347. The cubic root of 326568960 is about 688.6390312908.

It can be divided in two parts, 32656 and 8960, that added together give a triangular number (41616 = T288).

The spelling of 326568960 in words is "three hundred twenty-six million, five hundred sixty-eight thousand, nine hundred sixty".