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335313 = 33111129
BaseRepresentation
bin1010001110111010001
3122000222000
41101313101
541212223
611104213
72564406
oct1216721
9560860
10335313
11209a20
12142069
13b9814
148a2ad
1569543
hex51dd1

335313 has 16 divisors (see below), whose sum is σ = 542400. Its totient is φ = 203040.

The previous prime is 335299. The next prime is 335323. The reversal of 335313 is 313533.

It is not a de Polignac number, because 335313 - 25 = 335281 is a prime.

It is a super-2 number, since 2×3353132 = 224869615938, which contains 22 as substring.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (335323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 268 + ... + 861.

It is an arithmetic number, because the mean of its divisors is an integer number (33900).

2335313 is an apocalyptic number.

335313 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

335313 is a deficient number, since it is larger than the sum of its proper divisors (207087).

335313 is a wasteful number, since it uses less digits than its factorization.

335313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1149 (or 1143 counting only the distinct ones).

The product of its digits is 405, while the sum is 18.

The square root of 335313 is about 579.0621728278. The cubic root of 335313 is about 69.4731190145.

Adding to 335313 its reverse (313533), we get a palindrome (648846).

The spelling of 335313 in words is "three hundred thirty-five thousand, three hundred thirteen".

Divisors: 1 3 9 11 27 33 99 297 1129 3387 10161 12419 30483 37257 111771 335313