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328284 = 223211829
BaseRepresentation
bin1010000001001011100
3121200022200
41100021130
541001114
611011500
72535045
oct1201134
9550280
10328284
11204710
12139b90
13b6568
14878cc
1567409
hex5025c

328284 has 36 divisors (see below), whose sum is σ = 906360. Its totient is φ = 99360.

The previous prime is 328283. The next prime is 328291. The reversal of 328284 is 482823.

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

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 328284.

It is not an unprimeable number, because it can be changed into a prime (328283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19 + ... + 810.

2328284 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 328284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453180).

328284 is an abundant number, since it is smaller than the sum of its proper divisors (578076).

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

328284 is a wasteful number, since it uses less digits than its factorization.

328284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850 (or 845 counting only the distinct ones).

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

The square root of 328284 is about 572.9607316387. The cubic root of 328284 is about 68.9842434091.

The spelling of 328284 in words is "three hundred twenty-eight thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 829 1658 2487 3316 4974 7461 9119 9948 14922 18238 27357 29844 36476 54714 82071 109428 164142 328284