242351000 has 128 divisors (see below), whose sum is σ = 608549760. Its totient is φ = 90112000.

The previous prime is 242350973. The next prime is 242351003. The reversal of 242351000 is 153242.

It is a self number, because there is not a number n which added to its sum of digits gives 242351000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242351003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 942872 + ... + 943128.

It is an arithmetic number, because the mean of its divisors is an integer number (4754295).

Almost surely, 2^242351000 is an apocalyptic number.

242351000 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 242351000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304274880).

242351000 is an abundant number, since it is smaller than the sum of its proper divisors (366198760).

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

242351000 is a wasteful number, since it uses less digits than its factorization.

242351000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 242351000 is about 15567.6266656161. The cubic root of 242351000 is about 623.4691065795.

The spelling of 242351000 in words is "two hundred forty-two million, three hundred fifty-one thousand".