334040100 has 72 divisors (see below), whose sum is σ = 968792160. Its totient is φ = 88865280.

The previous prime is 334040093. The next prime is 334040131. The reversal of 334040100 is 1040433.

It is a super-2 number, since 2×334040100² = 223165576816020000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 334040100.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 155836 + ... + 157964.

Almost surely, 2^334040100 is an apocalyptic number.

334040100 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 334040100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484396080).

334040100 is an abundant number, since it is smaller than the sum of its proper divisors (634752060).

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

334040100 is a wasteful number, since it uses less digits than its factorization.

334040100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2669 (or 2662 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 334040100 is about 18276.7639367586. The cubic root of 334040100 is about 693.8509730475.

Adding to 334040100 its reverse (1040433), we get a palindrome (335080533).

The spelling of 334040100 in words is "three hundred thirty-four million, forty thousand, one hundred".