1314341200 has 60 divisors (see below), whose sum is σ = 3177969340. Its totient is φ = 522362880.

The previous prime is 1314341191. The next prime is 1314341201. The reversal of 1314341200 is 21434131.

It can be written as a sum of positive squares in 6 ways, for example, as 64577296 + 1249763904 = 8036^2 + 35352^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1314341201) 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 11 ways as a sum of consecutive naturals, for example, 52336 + ... + 73264.

Almost surely, 2^1314341200 is an apocalyptic number.

1314341200 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 1314341200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1588984670).

1314341200 is an abundant number, since it is smaller than the sum of its proper divisors (1863628140).

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

1314341200 is a wasteful number, since it uses less digits than its factorization.

1314341200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21104 (or 21093 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 1314341200 is about 36253.8439341265. The cubic root of 1314341200 is about 1095.3915184957.

Adding to 1314341200 its reverse (21434131), we get a palindrome (1335775331).

The spelling of 1314341200 in words is "one billion, three hundred fourteen million, three hundred forty-one thousand, two hundred".