338031000 has 288 divisors, whose sum is σ = 1211202720. Its totient is φ = 85008000.

The previous prime is 338030999. The next prime is 338031053. The reversal of 338031000 is 130833.

It is a super-2 number, since 2×338031000² = 228529913922000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 71 ways as a sum of consecutive naturals, for example, 4760965 + ... + 4761035.

It is an arithmetic number, because the mean of its divisors is an integer number (4205565).

Almost surely, 2^338031000 is an apocalyptic number.

338031000 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 338031000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605601360).

338031000 is an abundant number, since it is smaller than the sum of its proper divisors (873171720).

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

338031000 is a wasteful number, since it uses less digits than its factorization.

338031000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 338031000 is about 18385.6193803744. The cubic root of 338031000 is about 696.6032720359.

Adding to 338031000 its reverse (130833), we get a palindrome (338161833).

The spelling of 338031000 in words is "three hundred thirty-eight million, thirty-one thousand".