1346734240 has 192 divisors, whose sum is σ = 3448811520. Its totient is φ = 496005120.

The previous prime is 1346734223. The next prime is 1346734253. The reversal of 1346734240 is 424376431.

It is a super-2 number, since 2×1346734240² = 3627386226376755200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1346734196 and 1346734205.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12355306 + ... + 12355414.

It is an arithmetic number, because the mean of its divisors is an integer number (17962560).

Almost surely, 2^1346734240 is an apocalyptic number.

1346734240 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 1346734240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1724405760).

1346734240 is an abundant number, since it is smaller than the sum of its proper divisors (2102077280).

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

1346734240 is a wasteful number, since it uses less digits than its factorization.

1346734240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 34.

The square root of 1346734240 is about 36697.8778678005. The cubic root of 1346734240 is about 1104.3175327610.

The spelling of 1346734240 in words is "one billion, three hundred forty-six million, seven hundred thirty-four thousand, two hundred forty".