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335113317 = 327111931821
BaseRepresentation
bin10011111110010…
…110110001100101
3212100120112001100
4103332112301211
51141242111232
653130350313
711206262520
oct2376266145
9770515040
10335113317
11162187660
129428b399
1354573306
1432713bb7
151e647c7c
hex13f96c65

335113317 has 96 divisors (see below), whose sum is σ = 656547840. Its totient is φ = 159408000.

The previous prime is 335113313. The next prime is 335113349. The reversal of 335113317 is 713311533.

335113317 is a `hidden beast` number, since 335 + 1 + 13 + 317 = 666.

It is not a de Polignac number, because 335113317 - 22 = 335113313 is a prime.

It is a super-2 number, since 2×3351133172 = 224601870461484978, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (335113313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 407767 + ... + 408587.

It is an arithmetic number, because the mean of its divisors is an integer number (6839040).

Almost surely, 2335113317 is an apocalyptic number.

It is an amenable number.

335113317 is a deficient number, since it is larger than the sum of its proper divisors (321434523).

335113317 is a wasteful number, since it uses less digits than its factorization.

335113317 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 895 (or 892 counting only the distinct ones).

The product of its digits is 2835, while the sum is 27.

The square root of 335113317 is about 18306.1005405302. The cubic root of 335113317 is about 694.5932557826.

The spelling of 335113317 in words is "three hundred thirty-five million, one hundred thirteen thousand, three hundred seventeen".

Divisors: 1 3 7 9 11 19 21 31 33 57 63 77 93 99 133 171 209 217 231 279 341 399 589 627 651 693 821 1023 1197 1463 1767 1881 1953 2387 2463 3069 4123 4389 5301 5747 6479 7161 7389 9031 12369 13167 15599 17241 19437 21483 25451 27093 37107 45353 46797 51723 58311 63217 76353 81279 109193 136059 140391 171589 178157 189651 229059 279961 327579 408177 483569 514767 534471 568953 839883 982737 1201123 1450707 1544301 1603413 1959727 2519649 3384983 3603369 4352121 5319259 5879181 10154949 10810107 15957777 17637543 30464847 37234813 47873331 111704439 335113317