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325116 = 223211821
BaseRepresentation
bin1001111010111111100
3121111222100
41033113330
540400431
610545100
72522601
oct1172774
9544870
10325116
112022a0
12138190
13b4c9c
14866a8
15664e6
hex4f5fc

325116 has 36 divisors (see below), whose sum is σ = 897624. Its totient is φ = 98400.

The previous prime is 325093. The next prime is 325133. The reversal of 325116 is 611523.

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

It is a hoax number, since the sum of its digits (18) 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 (18).

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 325116.

It is an unprimeable number.

325116 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15 + ... + 806.

It is an arithmetic number, because the mean of its divisors is an integer number (24934).

2325116 is an apocalyptic number.

325116 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 325116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448812).

325116 is an abundant number, since it is smaller than the sum of its proper divisors (572508).

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

325116 is a wasteful number, since it uses less digits than its factorization.

325116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842 (or 837 counting only the distinct ones).

The product of its digits is 180, while the sum is 18.

The square root of 325116 is about 570.1894422032. The cubic root of 325116 is about 68.7616222776.

Adding to 325116 its reverse (611523), we get a palindrome (936639).

It can be divided in two parts, 325 and 116, that added together give a square (441 = 212).

The spelling of 325116 in words is "three hundred twenty-five thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 821 1642 2463 3284 4926 7389 9031 9852 14778 18062 27093 29556 36124 54186 81279 108372 162558 325116