Search a number
-
+
327068280 = 233557111923
BaseRepresentation
bin10011011111101…
…010101001111000
3211210102210100000
4103133222221320
51132212141110
652242113000
711051014560
oct2337525170
9753383300
10327068280
11158692270
129164b760
13529b7536
143161bda0
151daa91c0
hex137eaa78

327068280 has 768 divisors, whose sum is σ = 1509580800. Its totient is φ = 61585920.

The previous prime is 327068249. The next prime is 327068281. The reversal of 327068280 is 82860723.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (327068281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14220349 + ... + 14220371.

It is an arithmetic number, because the mean of its divisors is an integer number (1965600).

Almost surely, 2327068280 is an apocalyptic number.

327068280 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 327068280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754790400).

327068280 is an abundant number, since it is smaller than the sum of its proper divisors (1182512520).

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

327068280 is a wasteful number, since it uses less digits than its factorization.

327068280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 327068280 is about 18085.0291677951. The cubic root of 327068280 is about 688.9898261548.

The spelling of 327068280 in words is "three hundred twenty-seven million, sixty-eight thousand, two hundred eighty".