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11034 = 232613
BaseRepresentation
bin10101100011010
3120010200
42230122
5323114
6123030
744112
oct25432
916120
1011034
118321
126476
13503a
144042
153409
hex2b1a

11034 has 12 divisors (see below), whose sum is σ = 23946. Its totient is φ = 3672.

The previous prime is 11027. The next prime is 11047. The reversal of 11034 is 43011.

Adding to 11034 its reverse (43011), we get a palindrome (54045).

It can be divided in two parts, 110 and 34, that added together give a square (144 = 122).

11034 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 only one way, i.e., 11025 + 9 = 105^2 + 3^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a nialpdrome in base 11.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 11034.

It is an unprimeable number.

11034 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 289 + ... + 324.

211034 is an apocalyptic number.

11034 is an abundant number, since it is smaller than the sum of its proper divisors (12912).

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

11034 is a wasteful number, since it uses less digits than its factorization.

11034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 11034 is about 105.0428484001. The cubic root of 11034 is about 22.2626910723.

The spelling of 11034 in words is "eleven thousand, thirty-four".

Divisors: 1 2 3 6 9 18 613 1226 1839 3678 5517 11034