Search a number
-
+
327708864 = 26327217683
BaseRepresentation
bin10011100010000…
…111000011000000
3211211122100001100
4103202013003000
51132343140424
652303534400
711056323300
oct2342070300
9754570040
10327708864
11158a8a57a
12918ba400
1352b7cc92
1431747600
151db83dc9
hex138870c0

327708864 has 252 divisors, whose sum is σ = 1158645384. Its totient is φ = 87994368.

The previous prime is 327708851. The next prime is 327708869. The reversal of 327708864 is 468807723.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (252).

It is not an unprimeable number, because it can be changed into a prime (327708869) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 479467 + ... + 480149.

Almost surely, 2327708864 is an apocalyptic number.

327708864 is a gapful number since it is divisible by the number (34) 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 327708864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579322692).

327708864 is an abundant number, since it is smaller than the sum of its proper divisors (830936520).

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

327708864 is a wasteful number, since it uses less digits than its factorization.

327708864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 732 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 327708864 is about 18102.7308437153. The cubic root of 327708864 is about 689.4393429251.

The spelling of 327708864 in words is "three hundred twenty-seven million, seven hundred eight thousand, eight hundred sixty-four".