1348933040 has 160 divisors (see below), whose sum is σ = 3893084160. Its totient is φ = 423263232.

The previous prime is 1348933037. The next prime is 1348933067. The reversal of 1348933040 is 403398431.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 923831 + ... + 925289.

It is an arithmetic number, because the mean of its divisors is an integer number (24331776).

Almost surely, 2^1348933040 is an apocalyptic number.

1348933040 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 1348933040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1946542080).

1348933040 is an abundant number, since it is smaller than the sum of its proper divisors (2544151120).

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

1348933040 is a wasteful number, since it uses less digits than its factorization.

1348933040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1619 (or 1613 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 35.

The square root of 1348933040 is about 36727.8237852449. The cubic root of 1348933040 is about 1104.9182088338.

The spelling of 1348933040 in words is "one billion, three hundred forty-eight million, nine hundred thirty-three thousand, forty".