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338744241 = 33116071879
BaseRepresentation
bin10100001100001…
…101001110110001
3212121101222202000
4110030031032301
51143204303431
653340244213
711252164353
oct2414151661
9777358660
10338744241
11164237620
1295540669
1355244ba4
1432dbb0d3
151eb139e6
hex1430d3b1

338744241 has 32 divisors (see below), whose sum is σ = 548659200. Its totient is φ = 204852240.

The previous prime is 338744221. The next prime is 338744243. The reversal of 338744241 is 142447833.

It is not a de Polignac number, because 338744241 - 25 = 338744209 is a prime.

It is a super-2 number, since 2×3387442412 = 229495321621332162, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 338744196 and 338744205.

It is not an unprimeable number, because it can be changed into a prime (338744243) by changing a digit.

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, 179340 + ... + 181218.

It is an arithmetic number, because the mean of its divisors is an integer number (17145600).

Almost surely, 2338744241 is an apocalyptic number.

It is an amenable number.

338744241 is a deficient number, since it is larger than the sum of its proper divisors (209914959).

338744241 is a wasteful number, since it uses less digits than its factorization.

338744241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2506 (or 2500 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 338744241 is about 18405.0058679697. The cubic root of 338744241 is about 697.0928691214.

The spelling of 338744241 in words is "three hundred thirty-eight million, seven hundred forty-four thousand, two hundred forty-one".

Divisors: 1 3 9 11 27 33 99 297 607 1821 1879 5463 5637 6677 16389 16911 20031 20669 50733 60093 62007 180279 186021 558063 1140553 3421659 10264977 12546083 30794931 37638249 112914747 338744241