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328120 = 23513631
BaseRepresentation
bin1010000000110111000
3121200002121
41100012320
540444440
611011024
72534422
oct1200670
9550077
10328120
11204581
12139a74
13b6470
1487812
156734a
hex501b8

328120 has 32 divisors (see below), whose sum is σ = 796320. Its totient is φ = 120960.

The previous prime is 328109. The next prime is 328121. The reversal of 328120 is 21823.

It is a happy number.

328120 is nontrivially palindromic in base 3.

328120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 328094 and 328103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (328121) by changing a digit.

328120 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 (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 205 + ... + 835.

It is an arithmetic number, because the mean of its divisors is an integer number (24885).

2328120 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 328120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398160).

328120 is an abundant number, since it is smaller than the sum of its proper divisors (468200).

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

328120 is a wasteful number, since it uses less digits than its factorization.

328120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 328120 is about 572.8175974950. The cubic root of 328120 is about 68.9727540682.

Adding to 328120 its reverse (21823), we get a palindrome (349943).

The spelling of 328120 in words is "three hundred twenty-eight thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 631 1262 2524 3155 5048 6310 8203 12620 16406 25240 32812 41015 65624 82030 164060 328120