5305344 has 88 divisors (see below), whose sum is σ = 15524448. Its totient is φ = 1597440.

The previous prime is 5305337. The next prime is 5305361. The reversal of 5305344 is 4435035.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (88).

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

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 33714 + ... + 33870.

Almost surely, 2^5305344 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 5305344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7762224).

5305344 is an abundant number, since it is smaller than the sum of its proper divisors (10219104).

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

5305344 is a wasteful number, since it uses less digits than its factorization.

5305344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 24.

The square root of 5305344 is about 2303.3332368548. Note that the first 3 decimals coincide. The cubic root of 5305344 is about 174.4099200372.

It can be divided in two parts, 53053 and 44, that multiplied together give a palindrome (2334332).

The spelling of 5305344 in words is "five million, three hundred five thousand, three hundred forty-four".