10405344 has 48 divisors (see below), whose sum is σ = 27482112. Its totient is φ = 3447168.

The previous prime is 10405337. The next prime is 10405363. The reversal of 10405344 is 44350401.

10405344 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 (48).

It is a self number, because there is not a number n which added to its sum of digits gives 10405344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26977 + ... + 27359.

It is an arithmetic number, because the mean of its divisors is an integer number (572544).

Almost surely, 2^10405344 is an apocalyptic number.

It is an amenable number.

10405344 is an abundant number, since it is smaller than the sum of its proper divisors (17076768).

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

10405344 is a wasteful number, since it uses less digits than its factorization.

10405344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 10405344 is about 3225.7315449367. The cubic root of 10405344 is about 218.3159574126.

Adding to 10405344 its reverse (44350401), we get a palindrome (54755745).

The spelling of 10405344 in words is "ten million, four hundred five thousand, three hundred forty-four".