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10034 = 229173
BaseRepresentation
bin10011100110010
3111202122
42130302
5310114
6114242
741153
oct23462
914678
1010034
1175a2
125982
13474b
14392a
152e8e
hex2732

10034 has 8 divisors (see below), whose sum is σ = 15660. Its totient is φ = 4816.

The previous prime is 10009. The next prime is 10037. The reversal of 10034 is 43001.

Adding to 10034 its reverse (43001), we get a palindrome (53035).

10034 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 2 ways, for example, as 9409 + 625 = 97^2 + 25^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a plaindrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (10037) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 29 + ... + 144.

210034 is an apocalyptic number.

10034 is a deficient number, since it is larger than the sum of its proper divisors (5626).

10034 is a wasteful number, since it uses less digits than its factorization.

10034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204.

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 10034 is about 100.1698557451. The cubic root of 10034 is about 21.5687362064.

The spelling of 10034 in words is "ten thousand, thirty-four".

Divisors: 1 2 29 58 173 346 5017 10034