1340313216 has 128 divisors (see below), whose sum is σ = 3931683840. Its totient is φ = 401157120.

The previous prime is 1340313193. The next prime is 1340313287. The reversal of 1340313216 is 6123130431.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 348681 + ... + 352503.

It is an arithmetic number, because the mean of its divisors is an integer number (30716280).

Almost surely, 2^1340313216 is an apocalyptic number.

1340313216 is a gapful number since it is divisible by the number (16) 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 1340313216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1965841920).

1340313216 is an abundant number, since it is smaller than the sum of its proper divisors (2591370624).

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

1340313216 is a wasteful number, since it uses less digits than its factorization.

1340313216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3934 (or 3922 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 1340313216 is about 36610.2883900141. The cubic root of 1340313216 is about 1102.5596633710.

Adding to 1340313216 its reverse (6123130431), we get a palindrome (7463443647).

The spelling of 1340313216 in words is "one billion, three hundred forty million, three hundred thirteen thousand, two hundred sixteen".