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327140316 = 2233172361127
BaseRepresentation
bin10011011111111…
…100001111011100
3211210120110011000
4103133330033130
51132221442231
652243430300
711051434566
oct2337741734
9753513130
10327140316
111587313a8
1291685390
1352a11269
143163a336
151dac06e6
hex137fc3dc

327140316 has 192 divisors, whose sum is σ = 959938560. Its totient is φ = 95800320.

The previous prime is 327140287. The next prime is 327140321. The reversal of 327140316 is 613041723.

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

It is a self number, because there is not a number n which added to its sum of digits gives 327140316.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2575845 + ... + 2575971.

It is an arithmetic number, because the mean of its divisors is an integer number (4999680).

Almost surely, 2327140316 is an apocalyptic number.

327140316 is a gapful number since it is divisible by the number (36) 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 327140316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479969280).

327140316 is an abundant number, since it is smaller than the sum of its proper divisors (632798244).

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

327140316 is a wasteful number, since it uses less digits than its factorization.

327140316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 327140316 is about 18087.0206501790. The cubic root of 327140316 is about 689.0404052243.

The spelling of 327140316 in words is "three hundred twenty-seven million, one hundred forty thousand, three hundred sixteen".