30045834 has 144 divisors (see below), whose sum is σ = 86329152. Its totient is φ = 7368192.

The previous prime is 30045811. The next prime is 30045871. The reversal of 30045834 is 43854003.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 30045798 and 30045807.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 361957 + ... + 362039.

It is an arithmetic number, because the mean of its divisors is an integer number (599508).

Almost surely, 2^30045834 is an apocalyptic number.

30045834 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 30045834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43164576).

30045834 is an abundant number, since it is smaller than the sum of its proper divisors (56283318).

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

30045834 is a wasteful number, since it uses less digits than its factorization.

30045834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 30045834 is about 5481.4080307892. The cubic root of 30045834 is about 310.8814110709.

Adding to 30045834 its reverse (43854003), we get a palindrome (73899837).

The spelling of 30045834 in words is "thirty million, forty-five thousand, eight hundred thirty-four".