234002000320 has 112 divisors (see below), whose sum is σ = 608824637568. Its totient is φ = 84958479360.

The previous prime is 234002000317. The next prime is 234002000321. The reversal of 234002000320 is 23000200432.

It is a super-2 number, since 2×234002000320² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 234002000294 and 234002000303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234002000321) 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, 2211667 + ... + 2315053.

It is an arithmetic number, because the mean of its divisors is an integer number (5435934264).

Almost surely, 2^234002000320 is an apocalyptic number.

234002000320 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 234002000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304412318784).

234002000320 is an abundant number, since it is smaller than the sum of its proper divisors (374822637248).

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

234002000320 is a wasteful number, since it uses less digits than its factorization.

234002000320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104058 (or 104048 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

Adding to 234002000320 its reverse (23000200432), we get a palindrome (257002200752).

The spelling of 234002000320 in words is "two hundred thirty-four billion, two million, three hundred twenty", and thus it is an aban number.