1353414340 has 24 divisors (see below), whose sum is σ = 2940177240. Its totient is φ = 522697728.

The previous prime is 1353414329. The next prime is 1353414341. The reversal of 1353414340 is 434143531.

It can be written as a sum of positive squares in 4 ways, for example, as 20142144 + 1333272196 = 4488^2 + 36514^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1353414299 and 1353414308.

It is not an unprimeable number, because it can be changed into a prime (1353414341) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1166157 + ... + 1167316.

It is an arithmetic number, because the mean of its divisors is an integer number (122507385).

Almost surely, 2^1353414340 is an apocalyptic number.

1353414340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1353414340 is an abundant number, since it is smaller than the sum of its proper divisors (1586762900).

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

1353414340 is a wasteful number, since it uses less digits than its factorization.

1353414340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2333511 (or 2333509 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 1353414340 is about 36788.7800830634. The cubic root of 1353414340 is about 1106.1404086059.

Adding to 1353414340 its reverse (434143531), we get a palindrome (1787557871).

The spelling of 1353414340 in words is "one billion, three hundred fifty-three million, four hundred fourteen thousand, three hundred forty".