339961248 has 144 divisors (see below), whose sum is σ = 1061424000. Its totient is φ = 102359040.

The previous prime is 339961247. The next prime is 339961267. The reversal of 339961248 is 842169933.

It is a happy number.

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

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

It is not an unprimeable number, because it can be changed into a prime (339961247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 756928 + ... + 757376.

It is an arithmetic number, because the mean of its divisors is an integer number (7371000).

Almost surely, 2^339961248 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 339961248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530712000).

339961248 is an abundant number, since it is smaller than the sum of its proper divisors (721462752).

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

339961248 is a wasteful number, since it uses less digits than its factorization.

339961248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715 (or 704 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 339961248 is about 18438.0380735045. The cubic root of 339961248 is about 697.9266869358.

The spelling of 339961248 in words is "three hundred thirty-nine million, nine hundred sixty-one thousand, two hundred forty-eight".