1306406340 has 96 divisors (see below), whose sum is σ = 4195537920. Its totient is φ = 337132800.

The previous prime is 1306406303. The next prime is 1306406341. The reversal of 1306406340 is 436046031.

1306406340 is a `hidden beast` number, since 13 + 0 + 640 + 6 + 3 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1306406341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22281 + ... + 55760.

It is an arithmetic number, because the mean of its divisors is an integer number (43703520).

Almost surely, 2^1306406340 is an apocalyptic number.

1306406340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1306406340 is an abundant number, since it is smaller than the sum of its proper divisors (2889131580).

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

1306406340 is a wasteful number, since it uses less digits than its factorization.

1306406340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78090 (or 78082 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 1306406340 is about 36144.2435250760. The cubic root of 1306406340 is about 1093.1827241068.

The spelling of 1306406340 in words is "one billion, three hundred six million, four hundred six thousand, three hundred forty".