338053080 has 128 divisors (see below), whose sum is σ = 1078686720. Its totient is φ = 84564480.

The previous prime is 338053069. The next prime is 338053151. The reversal of 338053080 is 80350833.

It is a super-2 number, since 2×338053080² = 228559769794972800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 145125 + ... + 147435.

It is an arithmetic number, because the mean of its divisors is an integer number (8427240).

Almost surely, 2^338053080 is an apocalyptic number.

338053080 is a gapful number since it is divisible by the number (30) 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 338053080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539343360).

338053080 is an abundant number, since it is smaller than the sum of its proper divisors (740633640).

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

338053080 is a wasteful number, since it uses less digits than its factorization.

338053080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2401 (or 2397 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 338053080 is about 18386.2198398692. The cubic root of 338053080 is about 696.6184389539.

The spelling of 338053080 in words is "three hundred thirty-eight million, fifty-three thousand, eighty".