29944100 has 36 divisors (see below), whose sum is σ = 66743124. Its totient is φ = 11652480.

The previous prime is 29944069. The next prime is 29944129. The reversal of 29944100 is 144992.

It can be written as a sum of positive squares in 6 ways, for example, as 88804 + 29855296 = 298^2 + 5464^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 347 + ... + 7746.

Almost surely, 2^29944100 is an apocalyptic number.

29944100 is a gapful number since it is divisible by the number (20) 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 29944100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33371562).

29944100 is an abundant number, since it is smaller than the sum of its proper divisors (36799024).

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

29944100 is a wasteful number, since it uses less digits than its factorization.

29944100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8144 (or 8137 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 29944100 is about 5472.1202472168. The cubic root of 29944100 is about 310.5301369372.

The spelling of 29944100 in words is "twenty-nine million, nine hundred forty-four thousand, one hundred".