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33264 = 2433711
BaseRepresentation
bin1000000111110000
31200122000
420013300
52031024
6414000
7165660
oct100760
950560
1033264
1122aa0
1217300
13121aa
14c1a0
159cc9
hex81f0

33264 has 80 divisors (see below), whose sum is σ = 119040. Its totient is φ = 8640.

The previous prime is 33247. The next prime is 33287. The reversal of 33264 is 46233.

33264 is nontrivially palindromic in base 15.

It is a super-2 number, since 2×332642 = 2212987392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a d-powerful number, because it can be written as 35 + 35 + 215 + 6 + 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 33264.

It is an unprimeable number.

33264 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 15 ways as a sum of consecutive naturals, for example, 3019 + ... + 3029.

It is an arithmetic number, because the mean of its divisors is an integer number (1488).

233264 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 33264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59520).

33264 is an abundant number, since it is smaller than the sum of its proper divisors (85776).

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

33264 is a wasteful number, since it uses less digits than its factorization.

33264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35 (or 23 counting only the distinct ones).

The product of its digits is 432, while the sum is 18.

The square root of 33264 is about 182.3842098428. The cubic root of 33264 is about 32.1606504658.

33264 divided by its product of digits (432) gives a palindrome (77).

Adding to 33264 its reverse (46233), we get a palindrome (79497).

The spelling of 33264 in words is "thirty-three thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 27 28 33 36 42 44 48 54 56 63 66 72 77 84 88 99 108 112 126 132 144 154 168 176 189 198 216 231 252 264 297 308 336 378 396 432 462 504 528 594 616 693 756 792 924 1008 1188 1232 1386 1512 1584 1848 2079 2376 2772 3024 3696 4158 4752 5544 8316 11088 16632 33264