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327000240 = 24385789
BaseRepresentation
bin10011011111011…
…010000010110000
3211210022100000000
4103133122002300
51132203001430
652240430000
711050312320
oct2337320260
9753270000
10327000240
11158646136
1291618300
1352992588
1431601280
151da93e60
hex137da0b0

327000240 has 360 divisors, whose sum is σ = 1317906720. Its totient is φ = 73903104.

The previous prime is 327000229. The next prime is 327000263. The reversal of 327000240 is 42000723.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3674116 + ... + 3674204.

It is an arithmetic number, because the mean of its divisors is an integer number (3660852).

Almost surely, 2327000240 is an apocalyptic number.

327000240 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 327000240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658953360).

327000240 is an abundant number, since it is smaller than the sum of its proper divisors (990906480).

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

327000240 is an frugal number, since it uses more digits than its factorization.

327000240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 327000240 is about 18083.1479560391. The cubic root of 327000240 is about 688.9420460002.

Adding to 327000240 its reverse (42000723), we get a palindrome (369000963).

The spelling of 327000240 in words is "three hundred twenty-seven million, two hundred forty", and thus it is an aban number.