241958340 has 120 divisors (see below), whose sum is σ = 817490520. Its totient is φ = 59553792.

The previous prime is 241958287. The next prime is 241958347. The reversal of 241958340 is 43859142.

241958340 is a `hidden beast` number, since 24 + 19 + 583 + 40 = 666.

241958340 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 93636 + 241864704 = 306^2 + 15552^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 241958295 and 241958304.

It is not an unprimeable number, because it can be changed into a prime (241958347) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 15316 + ... + 26804.

It is an arithmetic number, because the mean of its divisors is an integer number (6812421).

Almost surely, 2^241958340 is an apocalyptic number.

241958340 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 241958340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408745260).

241958340 is an abundant number, since it is smaller than the sum of its proper divisors (575532180).

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

241958340 is a wasteful number, since it uses less digits than its factorization.

241958340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11523 (or 11512 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 241958340 is about 15555.0101253583. The cubic root of 241958340 is about 623.1322071871.

The spelling of 241958340 in words is "two hundred forty-one million, nine hundred fifty-eight thousand, three hundred forty".