1340104320 has 192 divisors, whose sum is σ = 4654976040. Its totient is φ = 355246080.

The previous prime is 1340104267. The next prime is 1340104327. The reversal of 1340104320 is 234010431.

1340104320 is a `hidden beast` number, since 1 + 340 + 1 + 0 + 4 + 320 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1325542464 + 14561856 = 36408^2 + 3816^2 .

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a junction number, because it is equal to n+sod(n) for n = 1340104293 and 1340104302.

It is not an unprimeable number, because it can be changed into a prime (1340104327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1134130 + ... + 1135310.

Almost surely, 2^1340104320 is an apocalyptic number.

1340104320 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 1340104320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2327488020).

1340104320 is an abundant number, since it is smaller than the sum of its proper divisors (3314871720).

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

1340104320 is a wasteful number, since it uses less digits than its factorization.

1340104320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1403 (or 1388 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1340104320 is about 36607.4353103301. The cubic root of 1340104320 is about 1102.5023801760.

Adding to 1340104320 its reverse (234010431), we get a palindrome (1574114751).

The spelling of 1340104320 in words is "one billion, three hundred forty million, one hundred four thousand, three hundred twenty".