241340100 has 72 divisors (see below), whose sum is σ = 700038528. Its totient is φ = 64195200.

The previous prime is 241340093. The next prime is 241340107. The reversal of 241340100 is 1043142.

It is an interprime number because it is at equal distance from previous prime (241340093) and next prime (241340107).

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 241340100.

It is not an unprimeable number, because it can be changed into a prime (241340107) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 161557 + ... + 163043.

Almost surely, 2^241340100 is an apocalyptic number.

241340100 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 241340100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350019264).

241340100 is an abundant number, since it is smaller than the sum of its proper divisors (458698428).

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

241340100 is a wasteful number, since it uses less digits than its factorization.

241340100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2045 (or 2038 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 241340100 is about 15535.1247178772. The cubic root of 241340100 is about 622.6010222977.

Adding to 241340100 its reverse (1043142), we get a palindrome (242383242).

The spelling of 241340100 in words is "two hundred forty-one million, three hundred forty thousand, one hundred".