10009344 has 36 divisors (see below), whose sum is σ = 26641496. Its totient is φ = 3336192.

The previous prime is 10009343. The next prime is 10009369. The reversal of 10009344 is 44390001.

It is a super-3 number, since 3×10009344³ (a number of 22 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10009344.

It is not an unprimeable number, because it can be changed into a prime (10009343) 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, 5749 + ... + 7284.

Almost surely, 2^10009344 is an apocalyptic number.

It is an amenable number.

10009344 is an abundant number, since it is smaller than the sum of its proper divisors (16632152).

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

10009344 is an equidigital number, since it uses as much as digits as its factorization.

10009344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13052 (or 13038 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 10009344 is about 3163.7547313280. The cubic root of 10009344 is about 215.5105515727.

Adding to 10009344 its reverse (44390001), we get a palindrome (54399345).

The spelling of 10009344 in words is "ten million, nine thousand, three hundred forty-four".