1305341640 has 192 divisors, whose sum is σ = 4336675200. Its totient is φ = 340454400.

The previous prime is 1305341519. The next prime is 1305341647. The reversal of 1305341640 is 461435031.

1305341640 is a `hidden beast` number, since 13 + 0 + 5 + 3 + 4 + 1 + 640 = 666.

It is not an unprimeable number, because it can be changed into a prime (1305341647) 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, 4197085 + ... + 4197395.

It is an arithmetic number, because the mean of its divisors is an integer number (22586850).

Almost surely, 2^1305341640 is an apocalyptic number.

1305341640 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 1305341640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2168337600).

1305341640 is an abundant number, since it is smaller than the sum of its proper divisors (3031333560).

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

1305341640 is a wasteful number, since it uses less digits than its factorization.

1305341640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 1305341640 is about 36129.5120365609. The cubic root of 1305341640 is about 1092.8856679909.

Adding to 1305341640 its reverse (461435031), we get a palindrome (1766776671).

The spelling of 1305341640 in words is "one billion, three hundred five million, three hundred forty-one thousand, six hundred forty".