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BaseRepresentation
bin1000001101010000
31201010001
420031100
52033431
6415344
7200002
oct101520
951101
1033616
1123290
1217554
13123bb
14c372
159e61
hex8350

33616 has 20 divisors (see below), whose sum is σ = 71424. Its totient is φ = 15200.

The previous prime is 33613. The next prime is 33617. The reversal of 33616 is 61633.

It is a happy number.

33616 is nontrivially palindromic in base 7.

It is a super-2 number, since 2×336162 = 2260070912, which contains 22 as substring.

It is an Ulam number.

It is a plaindrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 33593 and 33602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33613) 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 3 ways as a sum of consecutive naturals, for example, 81 + ... + 271.

233616 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 33616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35712).

33616 is an abundant number, since it is smaller than the sum of its proper divisors (37808).

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

33616 is a wasteful number, since it uses less digits than its factorization.

33616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 204 counting only the distinct ones).

The product of its digits is 324, while the sum is 19.

The square root of 33616 is about 183.3466661819. The cubic root of 33616 is about 32.2736941034.

The spelling of 33616 in words is "thirty-three thousand, six hundred sixteen".