1303400340 has 144 divisors (see below), whose sum is σ = 4500752256. Its totient is φ = 302227200.

The previous prime is 1303400339. The next prime is 1303400347. The reversal of 1303400340 is 430043031.

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 (1303400347) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31230 + ... + 59850.

It is an arithmetic number, because the mean of its divisors is an integer number (31255224).

Almost surely, 2^1303400340 is an apocalyptic number.

1303400340 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 1303400340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2250376128).

1303400340 is an abundant number, since it is smaller than the sum of its proper divisors (3197351916).

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

1303400340 is a wasteful number, since it uses less digits than its factorization.

1303400340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28670 (or 28665 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 1303400340 is about 36102.6361918351. The cubic root of 1303400340 is about 1092.3436204770.

Adding to 1303400340 its reverse (430043031), we get a palindrome (1733443371).

The spelling of 1303400340 in words is "one billion, three hundred three million, four hundred thousand, three hundred forty".