1340313300 has 216 divisors, whose sum is σ = 4402452600. Its totient is φ = 340623360.

The previous prime is 1340313287. The next prime is 1340313301. The reversal of 1340313300 is 33130431.

1340313300 is a `hidden beast` number, since 13 + 40 + 313 + 300 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 146748996 + 1193564304 = 12114^2 + 34548^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1340313301) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2322612 + ... + 2323188.

It is an arithmetic number, because the mean of its divisors is an integer number (20381725).

Almost surely, 2^1340313300 is an apocalyptic number.

1340313300 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 1340313300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2201226300).

1340313300 is an abundant number, since it is smaller than the sum of its proper divisors (3062139300).

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

1340313300 is a wasteful number, since it uses less digits than its factorization.

1340313300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 715 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 1340313300 is about 36610.2895372326. The cubic root of 1340313300 is about 1102.5596864042.

Adding to 1340313300 its reverse (33130431), we get a palindrome (1373443731).

The spelling of 1340313300 in words is "one billion, three hundred forty million, three hundred thirteen thousand, three hundred".