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33342 = 235557
BaseRepresentation
bin1000001000111110
31200201220
420020332
52031332
6414210
7166131
oct101076
950656
1033342
1123061
1217366
131223a
14c218
159d2c
hex823e

33342 has 8 divisors (see below), whose sum is σ = 66696. Its totient is φ = 11112.

The previous prime is 33331. The next prime is 33343. The reversal of 33342 is 24333.

It is a sphenic number, since it is the product of 3 distinct primes.

33342 is an admirable number.

It is a super-2 number, since 2×333422 = 2223377928, which contains 22 as substring.

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33343) by changing a digit.

33342 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2773 + ... + 2784.

It is an arithmetic number, because the mean of its divisors is an integer number (8337).

233342 is an apocalyptic number.

33342 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (33348).

33342 is a wasteful number, since it uses less digits than its factorization.

33342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5562.

The product of its digits is 216, while the sum is 15.

The square root of 33342 is about 182.5979189367. The cubic root of 33342 is about 32.1857684367.

Adding to 33342 its reverse (24333), we get a palindrome (57675).

Subtracting from 33342 its reverse (24333), we obtain a palindrome (9009).

The spelling of 33342 in words is "thirty-three thousand, three hundred forty-two".

Divisors: 1 2 3 6 5557 11114 16671 33342