334114440 has 128 divisors (see below), whose sum is σ = 1123182720. Its totient is φ = 78796800.

The previous prime is 334114349. The next prime is 334114483. The reversal of 334114440 is 44411433.

It is a super-2 number, since 2×334114440² = 223264918033027200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 334114440.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45420 + ... + 52260.

It is an arithmetic number, because the mean of its divisors is an integer number (8774865).

Almost surely, 2^334114440 is an apocalyptic number.

334114440 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 334114440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561591360).

334114440 is an abundant number, since it is smaller than the sum of its proper divisors (789068280).

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

334114440 is a wasteful number, since it uses less digits than its factorization.

334114440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6903 (or 6899 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 334114440 is about 18278.7975534497. The cubic root of 334114440 is about 693.9024409754.

Adding to 334114440 its reverse (44411433), we get a palindrome (378525873).

The spelling of 334114440 in words is "three hundred thirty-four million, one hundred fourteen thousand, four hundred forty".