334944144 has 60 divisors (see below), whose sum is σ = 938720796. Its totient is φ = 111488256.

The previous prime is 334944131. The next prime is 334944161. The reversal of 334944144 is 441449433.

It can be written as a sum of positive squares in 2 ways, for example, as 207705744 + 127238400 = 14412^2 + 11280^2 .

It is a super-2 number, since 2×334944144² = 224375159199785472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 334944099 and 334944108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 142402 + ... + 144734.

Almost surely, 2^334944144 is an apocalyptic number.

It is an amenable number.

334944144 is an abundant number, since it is smaller than the sum of its proper divisors (603776652).

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

334944144 is a wasteful number, since it uses less digits than its factorization.

334944144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3344 (or 3335 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 334944144 is about 18301.4792844732. The cubic root of 334944144 is about 694.4763538295.

The spelling of 334944144 in words is "three hundred thirty-four million, nine hundred forty-four thousand, one hundred forty-four".