334345142100 has 144 divisors (see below), whose sum is σ = 1027776593088. Its totient is φ = 83627304960.

The previous prime is 334345142093. The next prime is 334345142113. The reversal of 334345142100 is 1241543433.

It is a super-2 number, since 2×334345142100² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 1382427 + ... + 1606173.

It is an arithmetic number, because the mean of its divisors is an integer number (7137337452).

Almost surely, 2^334345142100 is an apocalyptic number.

334345142100 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 334345142100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513888296544).

334345142100 is an abundant number, since it is smaller than the sum of its proper divisors (693431450988).

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

334345142100 is a wasteful number, since it uses less digits than its factorization.

334345142100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224074 (or 224067 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 334345142100 its reverse (1241543433), we get a palindrome (335586685533).

The spelling of 334345142100 in words is "three hundred thirty-four billion, three hundred forty-five million, one hundred forty-two thousand, one hundred".