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328248 = 23324797
BaseRepresentation
bin1010000001000111000
3121200021100
41100020320
541000443
611011400
72534664
oct1201070
9550240
10328248
11204688
12139b60
13b653b
14878a4
15673d3
hex50238

328248 has 48 divisors (see below), whose sum is σ = 917280. Its totient is φ = 105984.

The previous prime is 328243. The next prime is 328249. The reversal of 328248 is 842823.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (328243) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3336 + ... + 3432.

It is an arithmetic number, because the mean of its divisors is an integer number (19110).

2328248 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 328248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458640).

328248 is an abundant number, since it is smaller than the sum of its proper divisors (589032).

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

328248 is a wasteful number, since it uses less digits than its factorization.

328248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 149 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 328248 is about 572.9293150119. The cubic root of 328248 is about 68.9817216865.

It can be divided in two parts, 328 and 248, that added together give a square (576 = 242).

The spelling of 328248 in words is "three hundred twenty-eight thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 47 72 94 97 141 188 194 282 291 376 388 423 564 582 776 846 873 1128 1164 1692 1746 2328 3384 3492 4559 6984 9118 13677 18236 27354 36472 41031 54708 82062 109416 164124 328248