30434100 has 72 divisors (see below), whose sum is σ = 88640160. Its totient is φ = 8062080.

The previous prime is 30434087. The next prime is 30434101. The reversal of 30434100 is 143403.

30434100 = 250² + 251² + ... + 474².

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 30434100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30434101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68479 + ... + 68921.

Almost surely, 2^30434100 is an apocalyptic number.

30434100 is a gapful number since it is divisible by the number (30) 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 30434100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44320080).

30434100 is an abundant number, since it is smaller than the sum of its proper divisors (58206060).

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

30434100 is a wasteful number, since it uses less digits than its factorization.

30434100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 30434100 is about 5516.7109766599. The cubic root of 30434100 is about 312.2148011296.

Adding to 30434100 its reverse (143403), we get a palindrome (30577503).

The spelling of 30434100 in words is "thirty million, four hundred thirty-four thousand, one hundred".