30240034146 has 144 divisors (see below), whose sum is σ = 82225408824. Its totient is φ = 7978134528.

The previous prime is 30240034141. The next prime is 30240034147. The reversal of 30240034146 is 64143004203.

30240034146 is a `hidden beast` number, since 3 + 0 + 240 + 0 + 3 + 414 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 29357052921 + 882981225 = 171339^2 + 29715^2 .

It is not an unprimeable number, because it can be changed into a prime (30240034141) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 775656 + ... + 813708.

Almost surely, 2^30240034146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30240034146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41112704412).

30240034146 is an abundant number, since it is smaller than the sum of its proper divisors (51985374678).

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

30240034146 is a wasteful number, since it uses less digits than its factorization.

30240034146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38145 (or 38135 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 30240034146 its reverse (64143004203), we get a palindrome (94383038349).

The spelling of 30240034146 in words is "thirty billion, two hundred forty million, thirty-four thousand, one hundred forty-six".