Search a number
32484 = 2232707
BaseRepresentation
bin111111011100100
31122120010
413323210
52014414
6410220
7163464
oct77344
948503
1032484
1122451
1216970
1311a2a
14bba4
159959
hex7ee4

32484 has 12 divisors (see below), whose sum is σ = 75824. Its totient is φ = 10824.

The previous prime is 32479. The next prime is 32491. The reversal of 32484 is 48423.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (12).

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 32484.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 32484.

It is an unprimeable number.

32484 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1342 + ... + 1365.

232484 is an apocalyptic number.

It is an amenable number.

32484 is an abundant number, since it is smaller than the sum of its proper divisors (43340).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37912).

32484 is a wasteful number, since it uses less digits than its factorization.

32484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2714 (or 2712 counting only the distinct ones).

The product of its digits is 768, while the sum is 21.

The square root of 32484 is about 180.2331822945. The cubic root of 32484 is about 31.9072837081.

The spelling of 32484 in words is "thirty-two thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 12 2707 5414 8121 10828 16242 32484