334023350100 has 144 divisors (see below), whose sum is σ = 1054609125696. Its totient is φ = 80951552000.

The previous prime is 334023350093. The next prime is 334023350123. The reversal of 334023350100 is 1053320433.

It is a happy number.

It is a super-2 number, since 2×334023350100² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12913180 + ... + 12939020.

It is an arithmetic number, because the mean of its divisors is an integer number (7323674484).

Almost surely, 2^334023350100 is an apocalyptic number.

334023350100 is a gapful number since it is divisible by the number (30) 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 334023350100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527304562848).

334023350100 is an abundant number, since it is smaller than the sum of its proper divisors (720585775596).

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

334023350100 is a wasteful number, since it uses less digits than its factorization.

334023350100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29786 (or 29779 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 24.

Adding to 334023350100 its reverse (1053320433), we get a palindrome (335076670533).

The spelling of 334023350100 in words is "three hundred thirty-four billion, twenty-three million, three hundred fifty thousand, one hundred".