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33396 = 22311223
BaseRepresentation
bin1000001001110100
31200210220
420021310
52032041
6414340
7166236
oct101164
950726
1033396
1123100
12173b0
131227c
14c256
159d66
hex8274

33396 has 36 divisors (see below), whose sum is σ = 89376. Its totient is φ = 9680.

The previous prime is 33391. The next prime is 33403. The reversal of 33396 is 69333.

It is a super-2 number, since 2×333962 = 2230585632, 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 (33391) by changing a digit.

33396 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, 1441 + ... + 1463.

233396 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 33396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44688).

33396 is an abundant number, since it is smaller than the sum of its proper divisors (55980).

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

33396 is a wasteful number, since it uses less digits than its factorization.

33396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52 (or 39 counting only the distinct ones).

The product of its digits is 1458, while the sum is 24.

The square root of 33396 is about 182.7457249842. The cubic root of 33396 is about 32.2031348619.

Subtracting 33396 from its reverse (69333), we obtain a cube (35937 = 333).

The spelling of 33396 in words is "thirty-three thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 66 69 92 121 132 138 242 253 276 363 484 506 726 759 1012 1452 1518 2783 3036 5566 8349 11132 16698 33396