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BaseRepresentation
bin1000000011110100
31200021200
420003310
52024022
6412500
7165150
oct100364
950250
1033012
1122891
1217130
1312045
14c060
159bac
hex80f4

33012 has 36 divisors (see below), whose sum is σ = 96096. Its totient is φ = 9360.

The previous prime is 32999. The next prime is 33013. The reversal of 33012 is 21033.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 32985 and 33003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33013) by changing a digit.

33012 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 11 ways as a sum of consecutive naturals, for example, 187 + ... + 317.

233012 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 33012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48048).

33012 is an abundant number, since it is smaller than the sum of its proper divisors (63084).

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

33012 is a wasteful number, since it uses less digits than its factorization.

33012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 33012 is about 181.6920471567. The cubic root of 33012 is about 32.0792307492.

Adding to 33012 its reverse (21033), we get a palindrome (54045).

The spelling of 33012 in words is "thirty-three thousand, twelve".