1351308240 has 240 divisors, whose sum is σ = 4852577808. Its totient is φ = 335806464.

The previous prime is 1351308229. The next prime is 1351308247. The reversal of 1351308240 is 428031531.

It is a happy number.

1351308240 is a `hidden beast` number, since 1 + 351 + 308 + 2 + 4 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 304704 + 1351003536 = 552^2 + 36756^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1351308247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1382632 + ... + 1383608.

Almost surely, 2^1351308240 is an apocalyptic number.

1351308240 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 1351308240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2426288904).

1351308240 is an abundant number, since it is smaller than the sum of its proper divisors (3501269568).

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

1351308240 is a wasteful number, since it uses less digits than its factorization.

1351308240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126 (or 1117 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1351308240 is about 36760.1447222396. The cubic root of 1351308240 is about 1105.5663415453.

Adding to 1351308240 its reverse (428031531), we get a palindrome (1779339771).

The spelling of 1351308240 in words is "one billion, three hundred fifty-one million, three hundred eight thousand, two hundred forty".