334368144 has 180 divisors, whose sum is σ = 1061463312. Its totient is φ = 97440000.

The previous prime is 334368143. The next prime is 334368157. The reversal of 334368144 is 441863433.

It is a happy number.

It is a super-2 number, since 2×334368144² = 223604111444009472, 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 = 334368099 and 334368108.

It is not an unprimeable number, because it can be changed into a prime (334368143) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1332019 + ... + 1332269.

Almost surely, 2^334368144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 334368144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530731656).

334368144 is an abundant number, since it is smaller than the sum of its proper divisors (727095168).

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

334368144 is a wasteful number, since it uses less digits than its factorization.

334368144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 296 counting only the distinct ones).

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

The square root of 334368144 is about 18285.7360803442. The cubic root of 334368144 is about 694.0780307969.

The spelling of 334368144 in words is "three hundred thirty-four million, three hundred sixty-eight thousand, one hundred forty-four".