241034400 has 144 divisors (see below), whose sum is σ = 871819200. Its totient is φ = 64270080.

The previous prime is 241034383. The next prime is 241034413. The reversal of 241034400 is 4430142.

241034400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16021 + ... + 27179.

It is an arithmetic number, because the mean of its divisors is an integer number (6054300).

Almost surely, 2^241034400 is an apocalyptic number.

241034400 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 241034400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435909600).

241034400 is an abundant number, since it is smaller than the sum of its proper divisors (630784800).

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

241034400 is a wasteful number, since it uses less digits than its factorization.

241034400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11188 (or 11169 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 241034400 is about 15525.2826061235. The cubic root of 241034400 is about 622.3380330542.

Adding to 241034400 its reverse (4430142), we get a palindrome (245464542).

The spelling of 241034400 in words is "two hundred forty-one million, thirty-four thousand, four hundred".