1309344 has 48 divisors (see below), whose sum is σ = 3592512. Its totient is φ = 416768.

The previous prime is 1309339. The next prime is 1309349. The reversal of 1309344 is 4439031.

It is an interprime number because it is at equal distance from previous prime (1309339) and next prime (1309349).

It is a tau number, because it is divible by the number of its divisors (48).

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

It is not an unprimeable number, because it can be changed into a prime (1309349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1912 + ... + 2504.

It is an arithmetic number, because the mean of its divisors is an integer number (74844).

2^1309344 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 1309344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1796256).

1309344 is an abundant number, since it is smaller than the sum of its proper divisors (2283168).

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

1309344 is a wasteful number, since it uses less digits than its factorization.

1309344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 1309344 is about 1144.2657034098. The cubic root of 1309344 is about 109.4001508420.

It can be divided in two parts, 1309 and 344, that added together give a triangular number (1653 = T₅₇).

The spelling of 1309344 in words is "one million, three hundred nine thousand, three hundred forty-four".