242454340 has 48 divisors (see below), whose sum is σ = 553703472. Its totient is φ = 88805376.

The previous prime is 242454319. The next prime is 242454347. The reversal of 242454340 is 43454242.

It can be written as a sum of positive squares in 8 ways, for example, as 33709636 + 208744704 = 5806^2 + 14448^2 .

It is a junction number, because it is equal to n+sod(n) for n = 242454299 and 242454308.

It is not an unprimeable number, because it can be changed into a prime (242454347) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2944 + ... + 22216.

It is an arithmetic number, because the mean of its divisors is an integer number (11535489).

Almost surely, 2^242454340 is an apocalyptic number.

242454340 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 242454340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276851736).

242454340 is an abundant number, since it is smaller than the sum of its proper divisors (311249132).

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

242454340 is a wasteful number, since it uses less digits than its factorization.

242454340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19336 (or 19334 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 28.

The square root of 242454340 is about 15570.9453791348. The cubic root of 242454340 is about 623.5577110443.

The spelling of 242454340 in words is "two hundred forty-two million, four hundred fifty-four thousand, three hundred forty".