Search a number
-
+
327331368 = 23347213261
BaseRepresentation
bin10011100000101…
…010111000101000
3211210221011020000
4103200222320220
51132244100433
652251503000
711053161600
oct2340527050
9753834200
10327331368
111588519a1
1291757a60
1352a7a200
1431689c00
151db0c113
hex1382ae28

327331368 has 360 divisors, whose sum is σ = 1173800430. Its totient is φ = 84913920.

The previous prime is 327331363. The next prime is 327331369. The reversal of 327331368 is 863133723.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 71267364 + 256064004 = 8442^2 + 16002^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (327331363) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 5366058 + ... + 5366118.

Almost surely, 2327331368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 327331368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586900215).

327331368 is an abundant number, since it is smaller than the sum of its proper divisors (846469062).

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

327331368 is a wasteful number, since it uses less digits than its factorization.

327331368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 86 counting only the distinct ones).

The product of its digits is 54432, while the sum is 36.

The square root of 327331368 is about 18092.3013461527. The cubic root of 327331368 is about 689.1745137629.

The spelling of 327331368 in words is "three hundred twenty-seven million, three hundred thirty-one thousand, three hundred sixty-eight".