234340240302000 has 960 divisors, whose sum is σ = 994780179993600. Its totient is φ = 50221165363200.

The previous prime is 234340240301927. The next prime is 234340240302041. The reversal of 234340240302000 is 203042043432.

234340240302000 is a `hidden beast` number, since 2 + 3 + 434 + 0 + 24 + 0 + 3 + 0 + 200 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 231713431 + ... + 232722569.

It is an arithmetic number, because the mean of its divisors is an integer number (1036229354160).

Almost surely, 2^{234340240302000} is an apocalyptic number.

234340240302000 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 234340240302000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497390089996800).

234340240302000 is an abundant number, since it is smaller than the sum of its proper divisors (760439939691600).

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

234340240302000 is a wasteful number, since it uses less digits than its factorization.

234340240302000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1009291 (or 1009272 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

Adding to 234340240302000 its reverse (203042043432), we get a palindrome (234543282345432).

The spelling of 234340240302000 in words is "two hundred thirty-four trillion, three hundred forty billion, two hundred forty million, three hundred two thousand".