234424000344330 has 192 divisors, whose sum is σ = 647597059668000. Its totient is φ = 58722873108480.

The previous prime is 234424000344329. The next prime is 234424000344341. The reversal of 234424000344330 is 33443000424432.

234424000344330 is a `hidden beast` number, since 2 + 3 + 44 + 240 + 0 + 0 + 3 + 44 + 330 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 370994282649 + 234053006061681 = 609093^2 + 15298791^2 .

It is a super-2 number, since 2×234424000344330² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2042301540 + ... + 2042416320.

Almost surely, 2^{234424000344330} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234424000344330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323798529834000).

234424000344330 is an abundant number, since it is smaller than the sum of its proper divisors (413173059323670).

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

234424000344330 is a wasteful number, since it uses less digits than its factorization.

234424000344330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136009 (or 136006 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 36.

Adding to 234424000344330 its reverse (33443000424432), we get a palindrome (267867000768762).

The spelling of 234424000344330 in words is "two hundred thirty-four trillion, four hundred twenty-four billion, three hundred forty-four thousand, three hundred thirty".