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335385 = 32529257
BaseRepresentation
bin1010001111000011001
3122001001200
41101320121
541213020
611104413
72564541
oct1217031
9561050
10335385
11209a86
12142109
13b986b
148a321
1569590
hex51e19

335385 has 24 divisors (see below), whose sum is σ = 603720. Its totient is φ = 172032.

The previous prime is 335383. The next prime is 335411. The reversal of 335385 is 583533.

It can be written as a sum of positive squares in 4 ways, for example, as 127449 + 207936 = 357^2 + 456^2 .

It is not a de Polignac number, because 335385 - 21 = 335383 is a prime.

It is a super-2 number, since 2×3353852 = 224966196450, which contains 22 as substring.

335385 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 335385.

It is not an unprimeable number, because it can be changed into a prime (335381) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1177 + ... + 1433.

It is an arithmetic number, because the mean of its divisors is an integer number (25155).

2335385 is an apocalyptic number.

It is an amenable number.

335385 is a deficient number, since it is larger than the sum of its proper divisors (268335).

335385 is a wasteful number, since it uses less digits than its factorization.

335385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 294 counting only the distinct ones).

The product of its digits is 5400, while the sum is 27.

The square root of 335385 is about 579.1243389808. The cubic root of 335385 is about 69.4780911914.

The spelling of 335385 in words is "three hundred thirty-five thousand, three hundred eighty-five".

Divisors: 1 3 5 9 15 29 45 87 145 257 261 435 771 1285 1305 2313 3855 7453 11565 22359 37265 67077 111795 335385