1353344 has 32 divisors (see below), whose sum is σ = 2748900. Its totient is φ = 663552.

The previous prime is 1353329. The next prime is 1353371. The reversal of 1353344 is 4433531.

1353344 = T₇ + T₈ + ... + T₂₀₀.

It can be written as a sum of positive squares in 2 ways, for example, as 1345600 + 7744 = 1160^2 + 88^2 .

It is a tau number, because it is divible by the number of its divisors (32).

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 3 ways as a sum of consecutive naturals, for example, 12362 + ... + 12470.

2^1353344 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 1353344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1374450).

1353344 is an abundant number, since it is smaller than the sum of its proper divisors (1395556).

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

1353344 is an equidigital number, since it uses as much as digits as its factorization.

1353344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 208 counting only the distinct ones).

The product of its digits is 2160, while the sum is 23.

The square root of 1353344 is about 1163.3331423114. Note that the first 3 decimals coincide. The cubic root of 1353344 is about 110.6121245402.

Adding to 1353344 its reverse (4433531), we get a palindrome (5786875).

The spelling of 1353344 in words is "one million, three hundred fifty-three thousand, three hundred forty-four".