305145040 has 20 divisors (see below), whose sum is σ = 709462404. Its totient is φ = 122057984.

The previous prime is 305145013. The next prime is 305145041. The reversal of 305145040 is 40541503.

It can be written as a sum of positive squares in 2 ways, for example, as 124188736 + 180956304 = 11144^2 + 13452^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×305145040² = 186226990873203200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (305145041) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1907077 + ... + 1907236.

Almost surely, 2^305145040 is an apocalyptic number.

It is an amenable number.

305145040 is an abundant number, since it is smaller than the sum of its proper divisors (404317364).

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

305145040 is a wasteful number, since it uses less digits than its factorization.

305145040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3814326 (or 3814320 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 305145040 is about 17468.4011861418. The cubic root of 305145040 is about 673.2382333639.

Adding to 305145040 its reverse (40541503), we get a palindrome (345686543).

The spelling of 305145040 in words is "three hundred five million, one hundred forty-five thousand, forty".