10034320 has 20 divisors (see below), whose sum is σ = 23329980. Its totient is φ = 4013696.

The previous prime is 10034309. The next prime is 10034329. The reversal of 10034320 is 2343001.

It can be written as a sum of positive squares in 2 ways, for example, as 2808976 + 7225344 = 1676^2 + 2688^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a self number, because there is not a number n which added to its sum of digits gives 10034320.

It is not an unprimeable number, because it can be changed into a prime (10034329) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 62635 + ... + 62794.

It is an arithmetic number, because the mean of its divisors is an integer number (1166499).

Almost surely, 2^10034320 is an apocalyptic number.

10034320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10034320 is an abundant number, since it is smaller than the sum of its proper divisors (13295660).

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

10034320 is a wasteful number, since it uses less digits than its factorization.

10034320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125442 (or 125436 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 10034320 is about 3167.6994806957. The cubic root of 10034320 is about 215.6896549095.

Adding to 10034320 its reverse (2343001), we get a palindrome (12377321).

The spelling of 10034320 in words is "ten million, thirty-four thousand, three hundred twenty".