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104328 = 2334723
BaseRepresentation
bin11001011110001000
312022010000
4121132020
511314303
62123000
7613110
oct313610
9168100
10104328
1171424
1250460
1338643
142a040
1520da3
hex19788

104328 has 80 divisors (see below), whose sum is σ = 348480. Its totient is φ = 28512.

The previous prime is 104327. The next prime is 104347. The reversal of 104328 is 823401.

It is a happy number.

It is a Cunningham number, because it is equal to 3232-1.

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

It is a self number, because there is not a number n which added to its sum of digits gives 104328.

It is not an unprimeable number, because it can be changed into a prime (104323) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4525 + ... + 4547.

It is an arithmetic number, because the mean of its divisors is an integer number (4356).

104328 is a Friedman number, since it can be written as (40*8+3)^2-1, using all its digits and the basic arithmetic operations.

2104328 is an apocalyptic number.

104328 is a gapful number since it is divisible by the number (18) 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 104328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174240).

104328 is an abundant number, since it is smaller than the sum of its proper divisors (244152).

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

104328 is a wasteful number, since it uses less digits than its factorization.

104328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48 (or 35 counting only the distinct ones).

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

The square root of 104328 is about 322.9984520087. The cubic root of 104328 is about 47.0760801907.

Adding to 104328 its reverse (823401), we get a palindrome (927729).

It can be divided in two parts, 10432 and 8, that added together give a triangular number (10440 = T144).

The spelling of 104328 in words is "one hundred four thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 23 24 27 28 36 42 46 54 56 63 69 72 81 84 92 108 126 138 161 162 168 184 189 207 216 252 276 322 324 378 414 483 504 552 567 621 644 648 756 828 966 1134 1242 1288 1449 1512 1656 1863 1932 2268 2484 2898 3726 3864 4347 4536 4968 5796 7452 8694 11592 13041 14904 17388 26082 34776 52164 104328