Search a number
-
+
338768685 = 32561167739
BaseRepresentation
bin10100001100010…
…011001100101101
3212121110020021100
4110030103030231
51143211044220
653340553313
711252325543
oct2414231455
9777406240
10338768685
11164253a22
1295552839
1355253058
1432dc5d93
151eb1ad90
hex1431332d

338768685 has 48 divisors (see below), whose sum is σ = 601211520. Its totient is φ = 176411520.

The previous prime is 338768681. The next prime is 338768687. The reversal of 338768685 is 586867833.

It is a happy number.

It is not a de Polignac number, because 338768685 - 22 = 338768681 is a prime.

It is a super-2 number, since 2×3387686852 = 229528443873258450, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338768681) 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 47 ways as a sum of consecutive naturals, for example, 458046 + ... + 458784.

It is an arithmetic number, because the mean of its divisors is an integer number (12525240).

Almost surely, 2338768685 is an apocalyptic number.

It is an amenable number.

338768685 is a deficient number, since it is larger than the sum of its proper divisors (262442835).

338768685 is a wasteful number, since it uses less digits than its factorization.

338768685 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 978 (or 975 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The square root of 338768685 is about 18405.6699144584. The cubic root of 338768685 is about 697.1096362731.

The spelling of 338768685 in words is "three hundred thirty-eight million, seven hundred sixty-eight thousand, six hundred eighty-five".

Divisors: 1 3 5 9 15 45 61 167 183 305 501 549 739 835 915 1503 2217 2505 2745 3695 6651 7515 10187 11085 30561 33255 45079 50935 91683 123413 135237 152805 225395 370239 405711 458415 617065 676185 1110717 1851195 2028555 5553585 7528193 22584579 37640965 67753737 112922895 338768685