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332328 = 23361227
BaseRepresentation
bin1010001001000101000
3121212212110
41101020220
541113303
611042320
72552613
oct1211050
9555773
10332328
11207757
121403a0
13b8359
148917a
1568703
hex51228

332328 has 32 divisors (see below), whose sum is σ = 848160. Its totient is φ = 108480.

The previous prime is 332317. The next prime is 332393. The reversal of 332328 is 823233.

It is a super-2 number, since 2×3323282 = 220883799168, which contains 22 as substring.

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

It is an unprimeable number.

332328 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1351 + ... + 1577.

It is an arithmetic number, because the mean of its divisors is an integer number (26505).

2332328 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 332328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424080).

332328 is an abundant number, since it is smaller than the sum of its proper divisors (515832).

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

332328 is a wasteful number, since it uses less digits than its factorization.

332328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 293 counting only the distinct ones).

The product of its digits is 864, while the sum is 21.

The square root of 332328 is about 576.4789675261. The cubic root of 332328 is about 69.2663513196.

The spelling of 332328 in words is "three hundred thirty-two thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 24 61 122 183 227 244 366 454 488 681 732 908 1362 1464 1816 2724 5448 13847 27694 41541 55388 83082 110776 166164 332328