1345948240 has 160 divisors (see below), whose sum is σ = 3870752256. Its totient is φ = 423843840.

The previous prime is 1345948229. The next prime is 1345948267. The reversal of 1345948240 is 428495431.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 1345948193 and 1345948202.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2132725 + ... + 2133355.

Almost surely, 2^1345948240 is an apocalyptic number.

1345948240 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 1345948240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1935376128).

1345948240 is an abundant number, since it is smaller than the sum of its proper divisors (2524804016).

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

1345948240 is a wasteful number, since it uses less digits than its factorization.

1345948240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 957 (or 951 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The square root of 1345948240 is about 36687.1672386953. The cubic root of 1345948240 is about 1104.1026518356.

1345948240 divided by its sum of digits (40) gives a triangular number (33648706 = T₈₂₀₃).

The spelling of 1345948240 in words is "one billion, three hundred forty-five million, nine hundred forty-eight thousand, two hundred forty".