1353404340 has 108 divisors (see below), whose sum is σ = 4361189196. Its totient is φ = 339664896.

The previous prime is 1353404321. The next prime is 1353404369. The reversal of 1353404340 is 434043531.

1353404340 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 168117156 + 1185287184 = 12966^2 + 34428^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 39012 + ... + 65028.

Almost surely, 2^1353404340 is an apocalyptic number.

1353404340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1353404340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2180594598).

1353404340 is an abundant number, since it is smaller than the sum of its proper divisors (3007784856).

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

1353404340 is a wasteful number, since it uses less digits than its factorization.

1353404340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26066 (or 26044 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 1353404340 is about 36788.6441718093. The cubic root of 1353404340 is about 1106.1376842785.

Adding to 1353404340 its reverse (434043531), we get a palindrome (1787447871).

The spelling of 1353404340 in words is "one billion, three hundred fifty-three million, four hundred four thousand, three hundred forty".