242352 has 100 divisors (see below), whose sum is σ = 810216. Its totient is φ = 69120.

The previous prime is 242329. The next prime is 242357. The reversal of 242352 is 253242.

242352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a d-powerful number, because it can be written as 2⁷ + 4² + 3⁵ + 2¹⁵ + 5⁷ + 2¹⁷ .

242352 is a Rhonda number in base 10.

Its product of digits (480) is a multiple of the sum of its prime factors (48).

It is a nialpdrome in base 6 and base 12.

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (242357) by changing a digit.

242352 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 14248 + ... + 14264.

2²⁴²³⁵² is an apocalyptic number.

242352 is a gapful number since it is divisible by the number (22) 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 242352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405108).

242352 is an abundant number, since it is smaller than the sum of its proper divisors (567864).

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

242352 is a wasteful number, since it uses less digits than its factorization.

242352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48 (or 33 counting only the distinct ones).

The product of its digits is 480, while the sum is 18.

The square root of 242352 is about 492.2925959224. The cubic root of 242352 is about 62.3469964107.

Adding to 242352 its reverse (253242), we get a palindrome (495594).

It can be divided in two parts, 242 and 352, that multiplied together give a cube (85184 = 44³).

The spelling of 242352 in words is "two hundred forty-two thousand, three hundred fifty-two".