339714144 has 144 divisors (see below), whose sum is σ = 1204519680. Its totient is φ = 88231680.

The previous prime is 339714143. The next prime is 339714169. The reversal of 339714144 is 441417933.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 339714099 and 339714108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (339714143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14517 + ... + 29835.

It is an arithmetic number, because the mean of its divisors is an integer number (8364720).

Almost surely, 2^339714144 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 339714144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602259840).

339714144 is an abundant number, since it is smaller than the sum of its proper divisors (864805536).

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

339714144 is a wasteful number, since it uses less digits than its factorization.

339714144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15353 (or 15342 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 339714144 is about 18431.3359255372. The cubic root of 339714144 is about 697.7575477777.

The spelling of 339714144 in words is "three hundred thirty-nine million, seven hundred fourteen thousand, one hundred forty-four".