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32984 = 2371931
BaseRepresentation
bin1000000011011000
31200020122
420003120
52023414
6412412
7165110
oct100330
950218
1032984
1122866
1217108
1312023
14c040
159b8e
hex80d8

32984 has 32 divisors (see below), whose sum is σ = 76800. Its totient is φ = 12960.

The previous prime is 32983. The next prime is 32987. The reversal of 32984 is 48923.

It is a d-powerful number, because it can be written as 3 + 27 + 92 + 85 + 4 .

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 32984.

It is not an unprimeable number, because it can be changed into a prime (32983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1049 + ... + 1079.

It is an arithmetic number, because the mean of its divisors is an integer number (2400).

232984 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 32984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38400).

32984 is an abundant number, since it is smaller than the sum of its proper divisors (43816).

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

32984 is a wasteful number, since it uses less digits than its factorization.

32984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 59 counting only the distinct ones).

The product of its digits is 1728, while the sum is 26.

The square root of 32984 is about 181.6149773559. The cubic root of 32984 is about 32.0701585681.

The spelling of 32984 in words is "thirty-two thousand, nine hundred eighty-four".