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335405 = 572372
BaseRepresentation
bin1010001111000101101
3122001002102
41101320231
541213110
611104445
72564600
oct1217055
9561072
10335405
11209aa4
12142125
13b9885
148a337
15695a5
hex51e2d

335405 has 18 divisors (see below), whose sum is σ = 481194. Its totient is φ = 223776.

The previous prime is 335383. The next prime is 335411. The reversal of 335405 is 504533.

It can be written as a sum of positive squares in 3 ways, for example, as 164836 + 170569 = 406^2 + 413^2 .

It is not a de Polignac number, because 335405 - 26 = 335341 is a prime.

It is a super-2 number, since 2×3354052 = 224993028050, which contains 22 as substring.

It is an Ulam number.

It is a Curzon number.

It is a nialpdrome in base 13.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 335405.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 9047 + ... + 9083.

It is an arithmetic number, because the mean of its divisors is an integer number (26733).

2335405 is an apocalyptic number.

335405 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

335405 is a deficient number, since it is larger than the sum of its proper divisors (145789).

335405 is an equidigital number, since it uses as much as digits as its factorization.

335405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 20.

The square root of 335405 is about 579.1416061724. The cubic root of 335405 is about 69.4794722253.

Multiplying 335405 by its sum of digits (20), we get a square (6708100 = 25902).

Adding to 335405 its reverse (504533), we get a palindrome (839938).

The spelling of 335405 in words is "three hundred thirty-five thousand, four hundred five".

Divisors: 1 5 7 35 37 49 185 245 259 1295 1369 1813 6845 9065 9583 47915 67081 335405