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328104 = 23337231
BaseRepresentation
bin1010000000110101000
3121200002000
41100012220
540444404
611011000
72534400
oct1200650
9550060
10328104
11204567
12139a60
13b645a
1487800
1567339
hex501a8

328104 has 96 divisors (see below), whose sum is σ = 1094400. Its totient is φ = 90720.

The previous prime is 328103. The next prime is 328109. The reversal of 328104 is 401823.

It is a happy number.

328104 is nontrivially palindromic in base 5.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 328104.

It is not an unprimeable number, because it can be changed into a prime (328103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10569 + ... + 10599.

It is an arithmetic number, because the mean of its divisors is an integer number (11400).

2328104 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 328104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547200).

328104 is an abundant number, since it is smaller than the sum of its proper divisors (766296).

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

328104 is a wasteful number, since it uses less digits than its factorization.

328104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 328104 is about 572.8036312734. The cubic root of 328104 is about 68.9716329519.

Adding to 328104 its reverse (401823), we get a palindrome (729927).

The spelling of 328104 in words is "three hundred twenty-eight thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 31 36 42 49 54 56 62 63 72 84 93 98 108 124 126 147 168 186 189 196 216 217 248 252 279 294 372 378 392 434 441 504 558 588 651 744 756 837 868 882 1116 1176 1302 1323 1512 1519 1674 1736 1764 1953 2232 2604 2646 3038 3348 3528 3906 4557 5208 5292 5859 6076 6696 7812 9114 10584 11718 12152 13671 15624 18228 23436 27342 36456 41013 46872 54684 82026 109368 164052 328104