234242000 has 80 divisors (see below), whose sum is σ = 570512592. Its totient is φ = 93017600.

The previous prime is 234241999. The next prime is 234242011. The reversal of 234242000 is 242432.

It can be written as a sum of positive squares in 8 ways, for example, as 29584 + 234212416 = 172^2 + 15304^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 234242000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 345662 + ... + 346338.

Almost surely, 2^234242000 is an apocalyptic number.

234242000 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 234242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285256296).

234242000 is an abundant number, since it is smaller than the sum of its proper divisors (336270592).

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

234242000 is a wasteful number, since it uses less digits than its factorization.

234242000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 873 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

The square root of 234242000 is about 15304.9665141744. The cubic root of 234242000 is about 616.4363720867.

Adding to 234242000 its reverse (242432), we get a palindrome (234484432).

The spelling of 234242000 in words is "two hundred thirty-four million, two hundred forty-two thousand".