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33364 = 2219439
BaseRepresentation
bin1000001001010100
31200202201
420021110
52031424
6414244
7166162
oct101124
950681
1033364
1123081
1217384
1312256
14c232
159d44
hex8254

33364 has 12 divisors (see below), whose sum is σ = 61600. Its totient is φ = 15768.

The previous prime is 33359. The next prime is 33377. The reversal of 33364 is 46333.

It is a happy number.

It is a super-2 number, since 2×333642 = 2226312992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a plaindrome in base 13.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 144 + ... + 295.

233364 is an apocalyptic number.

It is an amenable number.

33364 is a deficient number, since it is larger than the sum of its proper divisors (28236).

33364 is a wasteful number, since it uses less digits than its factorization.

33364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 460 counting only the distinct ones).

The product of its digits is 648, while the sum is 19.

The square root of 33364 is about 182.6581506531. The cubic root of 33364 is about 32.1928459088.

Adding to 33364 its reverse (46333), we get a palindrome (79697).

It can be divided in two parts, 333 and 64, that multiplied together give a palindrome (21312).

The spelling of 33364 in words is "thirty-three thousand, three hundred sixty-four".

Divisors: 1 2 4 19 38 76 439 878 1756 8341 16682 33364