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33014 = 217971
BaseRepresentation
bin1000000011110110
31200021202
420003312
52024024
6412502
7165152
oct100366
950252
1033014
1122893
1217132
1312047
14c062
159bae
hex80f6

33014 has 8 divisors (see below), whose sum is σ = 52488. Its totient is φ = 15520.

The previous prime is 33013. The next prime is 33023. The reversal of 33014 is 41033.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 32986 and 33004.

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 33014.

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

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, 452 + ... + 519.

It is an arithmetic number, because the mean of its divisors is an integer number (6561).

233014 is an apocalyptic number.

33014 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

33014 is a deficient number, since it is larger than the sum of its proper divisors (19474).

33014 is a wasteful number, since it uses less digits than its factorization.

33014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 990.

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 33014 is about 181.6975508916. The cubic root of 33014 is about 32.0798785658.

Adding to 33014 its reverse (41033), we get a palindrome (74047).

The spelling of 33014 in words is "thirty-three thousand, fourteen".

Divisors: 1 2 17 34 971 1942 16507 33014