10345344 has 64 divisors (see below), whose sum is σ = 28458000. Its totient is φ = 3325952.

The previous prime is 10345343. The next prime is 10345381. The reversal of 10345344 is 44354301.

10345344 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×10345344² = 214052284956672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10345343) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10672 + ... + 11600.

Almost surely, 2^10345344 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 10345344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14229000).

10345344 is an abundant number, since it is smaller than the sum of its proper divisors (18112656).

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

10345344 is an equidigital number, since it uses as much as digits as its factorization.

10345344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 975 (or 963 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 10345344 is about 3216.4178832981. The cubic root of 10345344 is about 217.8955255084.

10345344 divided by its sum of digits (24) gives a triangular number (431056 = T₉₂₈).

Adding to 10345344 its reverse (44354301), we get a palindrome (54699645).

The spelling of 10345344 in words is "ten million, three hundred forty-five thousand, three hundred forty-four".