Search a number
-
+
328325760 = 27325717479
BaseRepresentation
bin10011100100011…
…101101010000000
3211212210200021100
4103210131222000
51133022411020
652325054400
711064502650
oct2344355200
9755720240
10328325760
11159371004
1291b57400
13530379c9
1431868360
151dc56a90
hex1391da80

328325760 has 384 divisors, whose sum is σ = 1374796800. Its totient is φ = 70483968.

The previous prime is 328325741. The next prime is 328325771. The reversal of 328325760 is 67523823.

328325760 is a `hidden beast` number, since 3 + 2 + 83 + 2 + 576 + 0 = 666.

328325760 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 685201 + ... + 685679.

It is an arithmetic number, because the mean of its divisors is an integer number (3580200).

Almost surely, 2328325760 is an apocalyptic number.

328325760 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 328325760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687398400).

328325760 is an abundant number, since it is smaller than the sum of its proper divisors (1046471040).

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

328325760 is a wasteful number, since it uses less digits than its factorization.

328325760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 328325760 is about 18119.7615878355. The cubic root of 328325760 is about 689.8716837635.

The spelling of 328325760 in words is "three hundred twenty-eight million, three hundred twenty-five thousand, seven hundred sixty".