Search a number
-
+
328344 = 23313681
BaseRepresentation
bin1010000001010011000
3121200101220
41100022120
541001334
611012040
72535162
oct1201230
9550356
10328344
11204765
1213a020
13b65b3
1487932
1567449
hex50298

328344 has 16 divisors (see below), whose sum is σ = 820920. Its totient is φ = 109440.

The previous prime is 328343. The next prime is 328357. The reversal of 328344 is 443823.

328344 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 13681 = 328344 / (3 + 2 + 8 + 3 + 4 + 4).

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

It is an Ulam number.

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 328344.

It is not an unprimeable number, because it can be changed into a prime (328343) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6817 + ... + 6864.

2328344 is an apocalyptic number.

It is an amenable number.

328344 is an abundant number, since it is smaller than the sum of its proper divisors (492576).

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

328344 is a wasteful number, since it uses less digits than its factorization.

328344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13690 (or 13686 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 328344 is about 573.0130888557. The cubic root of 328344 is about 68.9884458704.

The spelling of 328344 in words is "three hundred twenty-eight thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 13681 27362 41043 54724 82086 109448 164172 328344