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350105 = 5721429
BaseRepresentation
bin1010101011110011001
3122210020212
41111132121
542200410
611300505
72655500
oct1253631
9583225
10350105
1121a048
1214a735
13c3482
1491837
156db05
hex55799

350105 has 12 divisors (see below), whose sum is σ = 489060. Its totient is φ = 239904.

The previous prime is 350093. The next prime is 350107. The reversal of 350105 is 501053.

It can be written as a sum of positive squares in 2 ways, for example, as 67081 + 283024 = 259^2 + 532^2 .

It is not a de Polignac number, because 350105 - 24 = 350089 is a prime.

It is a super-2 number, since 2×3501052 = 245147022050, which contains 22 as substring.

350105 is a modest number, since divided by 105 gives 35 as remainder.

It is a Curzon number.

It is a plaindrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 350105.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 350105.

It is not an unprimeable number, because it can be changed into a prime (350107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 470 + ... + 959.

It is an arithmetic number, because the mean of its divisors is an integer number (40755).

2350105 is an apocalyptic number.

350105 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

350105 is a deficient number, since it is larger than the sum of its proper divisors (138955).

350105 is a wasteful number, since it uses less digits than its factorization.

350105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1448 (or 1441 counting only the distinct ones).

The product of its (nonzero) digits is 75, while the sum is 14.

The square root of 350105 is about 591.6967128521. The cubic root of 350105 is about 70.4800339148.

Adding to 350105 its reverse (501053), we get a palindrome (851158).

The spelling of 350105 in words is "three hundred fifty thousand, one hundred five".

Divisors: 1 5 7 35 49 245 1429 7145 10003 50015 70021 350105