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BaseRepresentation
bin1000001010010010
31200212000
420022102
52032201
6414430
7166311
oct101222
950760
1033426
1123128
1217416
13122a3
14c278
159d86
hex8292

33426 has 16 divisors (see below), whose sum is σ = 74400. Its totient is φ = 11124.

The previous prime is 33413. The next prime is 33427. The reversal of 33426 is 62433.

It is a super-2 number, since 2×334262 = 2234594952, which contains 22 as substring.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 33399 and 33408.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 33426.

It is not an unprimeable number, because it can be changed into a prime (33427) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 256 + ... + 363.

It is an arithmetic number, because the mean of its divisors is an integer number (4650).

233426 is an apocalyptic number.

33426 is an abundant number, since it is smaller than the sum of its proper divisors (40974).

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 (37200).

33426 is a wasteful number, since it uses less digits than its factorization.

33426 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630 (or 624 counting only the distinct ones).

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

The square root of 33426 is about 182.8277878223. The cubic root of 33426 is about 32.2127747879.

Adding to 33426 its reverse (62433), we get a palindrome (95859).

The spelling of 33426 in words is "thirty-three thousand, four hundred twenty-six".