1303840840 has 144 divisors (see below), whose sum is σ = 3242822580. Its totient is φ = 471582720.

The previous prime is 1303840807. The next prime is 1303840849. The reversal of 1303840840 is 480483031.

It can be written as a sum of positive squares in 6 ways, for example, as 551216484 + 752624356 = 23478^2 + 27434^2 .

It is not an unprimeable number, because it can be changed into a prime (1303840849) 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 35 ways as a sum of consecutive naturals, for example, 21374410 + ... + 21374470.

Almost surely, 2^1303840840 is an apocalyptic number.

1303840840 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 1303840840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1621411290).

1303840840 is an abundant number, since it is smaller than the sum of its proper divisors (1938981740).

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

1303840840 is a wasteful number, since it uses less digits than its factorization.

1303840840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 1303840840 is about 36108.7363390080. The cubic root of 1303840840 is about 1092.4666635549.

The spelling of 1303840840 in words is "one billion, three hundred three million, eight hundred forty thousand, eight hundred forty".