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34332112 = 24171131117
BaseRepresentation
bin1000001011110…
…1110111010000
32101121020210201
42002331313100
532242111422
63223504544
7564550423
oct202756720
971536721
1034332112
111841a251
12b5b8154
137160a79
1447b99ba
153032727
hex20bddd0

34332112 has 40 divisors (see below), whose sum is σ = 71118216. Its totient is φ = 15998976.

The previous prime is 34332071. The next prime is 34332113. The reversal of 34332112 is 21123343.

34332112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 179776 + 34152336 = 424^2 + 5844^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 34332112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34332113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30178 + ... + 31294.

Almost surely, 234332112 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 34332112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35559108).

34332112 is an abundant number, since it is smaller than the sum of its proper divisors (36786104).

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

34332112 is a wasteful number, since it uses less digits than its factorization.

34332112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1255 (or 1249 counting only the distinct ones).

The product of its digits is 432, while the sum is 19.

The square root of 34332112 is about 5859.3610573167. The cubic root of 34332112 is about 325.0125817614.

Adding to 34332112 its reverse (21123343), we get a palindrome (55455455).

The spelling of 34332112 in words is "thirty-four million, three hundred thirty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 17 34 68 113 136 226 272 452 904 1117 1808 1921 2234 3842 4468 7684 8936 15368 17872 18989 30736 37978 75956 126221 151912 252442 303824 504884 1009768 2019536 2145757 4291514 8583028 17166056 34332112