334268144 has 60 divisors (see below), whose sum is σ = 785579184. Its totient is φ = 134509056.

The previous prime is 334268117. The next prime is 334268149. The reversal of 334268144 is 441862433.

It is a super-2 number, since 2×334268144² = 223470384186409472, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334268149) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 797567 + ... + 797985.

Almost surely, 2^334268144 is an apocalyptic number.

334268144 is a gapful number since it is divisible by the number (34) 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 334268144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392789592).

334268144 is an abundant number, since it is smaller than the sum of its proper divisors (451311040).

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

334268144 is an equidigital number, since it uses as much as digits as its factorization.

334268144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 870 (or 445 counting only the distinct ones).

The product of its digits is 55296, while the sum is 35.

The square root of 334268144 is about 18283.0015041295. The cubic root of 334268144 is about 694.0088308997.

The spelling of 334268144 in words is "three hundred thirty-four million, two hundred sixty-eight thousand, one hundred forty-four".