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328384 = 267733
BaseRepresentation
bin1010000001011000000
3121200110101
41100023000
541002014
611012144
72535250
oct1201300
9550411
10328384
112047a1
1213a054
13b6614
1487960
1567474
hex502c0

328384 has 28 divisors (see below), whose sum is σ = 745744. Its totient is φ = 140544.

The previous prime is 328381. The next prime is 328397. The reversal of 328384 is 483823.

It is a tau number, because it is divible by the number of its divisors (28).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (328381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 82 + ... + 814.

2328384 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 328384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372872).

328384 is an abundant number, since it is smaller than the sum of its proper divisors (417360).

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

328384 is an equidigital number, since it uses as much as digits as its factorization.

328384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752 (or 742 counting only the distinct ones).

The product of its digits is 4608, while the sum is 28.

The square root of 328384 is about 573.0479910095. The cubic root of 328384 is about 68.9912472269.

The spelling of 328384 in words is "three hundred twenty-eight thousand, three hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 733 1466 2932 5131 5864 10262 11728 20524 23456 41048 46912 82096 164192 328384