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332028 = 223223401
BaseRepresentation
bin1010001000011111100
3121212110100
41101003330
541111103
611041100
72552004
oct1210374
9555410
10332028
11207504
12140190
13b8188
1489004
15685a3
hex510fc

332028 has 36 divisors (see below), whose sum is σ = 877968. Its totient is φ = 105600.

The previous prime is 332011. The next prime is 332039. The reversal of 332028 is 820233.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×3320282 = 220485185568, which contains 22 as substring.

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

It is a d-powerful number, because it can be written as 32 + 35 + 0 + 216 + 218 + 84 .

It is a nialpdrome in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 332028.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 332028.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 628 + ... + 1028.

It is an arithmetic number, because the mean of its divisors is an integer number (24388).

2332028 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 332028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438984).

332028 is an abundant number, since it is smaller than the sum of its proper divisors (545940).

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

332028 is a wasteful number, since it uses less digits than its factorization.

332028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 332028 is about 576.2187084780. The cubic root of 332028 is about 69.2455022775.

The spelling of 332028 in words is "three hundred thirty-two thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 401 414 802 828 1203 1604 2406 3609 4812 7218 9223 14436 18446 27669 36892 55338 83007 110676 166014 332028