Search a number
-
+
239338000 = 24531122343
BaseRepresentation
bin11100100010000…
…00001000010000
3121200100122000101
432101000020100
5442232304000
635425502144
75634224266
oct1621001020
9550318011
10239338000
11113111200
12681a1954
133a77b725
1423b02436
1516029e6a
hexe440210

239338000 has 240 divisors, whose sum is σ = 679206528. Its totient is φ = 81312000.

The previous prime is 239337997. The next prime is 239338007. The reversal of 239338000 is 833932.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 239338000.

It is not an unprimeable number, because it can be changed into a prime (239338007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5565979 + ... + 5566021.

Almost surely, 2239338000 is an apocalyptic number.

239338000 is a gapful number since it is divisible by the number (20) 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 239338000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339603264).

239338000 is an abundant number, since it is smaller than the sum of its proper divisors (439868528).

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

239338000 is a wasteful number, since it uses less digits than its factorization.

239338000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 28.

The square root of 239338000 is about 15470.5526727393. The cubic root of 239338000 is about 620.8745894939.

The spelling of 239338000 in words is "two hundred thirty-nine million, three hundred thirty-eight thousand".