234334234002 has 384 divisors, whose sum is σ = 583789731840. Its totient is φ = 62358630400.

The previous prime is 234334233967. The next prime is 234334234037. The reversal of 234334234002 is 200432433432.

234334234002 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (234334233967) and next prime (234334234037).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1403198923 + ... + 1403199089.

It is an arithmetic number, because the mean of its divisors is an integer number (1520285760).

Almost surely, 2^234334234002 is an apocalyptic number.

234334234002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 234334234002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291894865920).

234334234002 is an abundant number, since it is smaller than the sum of its proper divisors (349455497838).

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

234334234002 is a wasteful number, since it uses less digits than its factorization.

234334234002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 30.

Adding to 234334234002 its reverse (200432433432), we get a palindrome (434766667434).

The spelling of 234334234002 in words is "two hundred thirty-four billion, three hundred thirty-four million, two hundred thirty-four thousand, two".