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306005 = 5721249
BaseRepresentation
bin1001010101101010101
3120112202112
41022231111
534243010
610320405
72413100
oct1125525
9515675
10306005
111999a7
12129105
13a938b
147d737
1560a05
hex4ab55

306005 has 12 divisors (see below), whose sum is σ = 427500. Its totient is φ = 209664.

The previous prime is 305999. The next prime is 306011. The reversal of 306005 is 500603.

Adding to 306005 its reverse (500603), we get a palindrome (806608).

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (305999) and next prime (306011).

It can be written as a sum of positive squares in 2 ways, for example, as 117649 + 188356 = 343^2 + 434^2 .

It is not a de Polignac number, because 306005 - 28 = 305749 is a prime.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 380 + ... + 869.

It is an arithmetic number, because the mean of its divisors is an integer number (35625).

2306005 is an apocalyptic number.

306005 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

306005 is a deficient number, since it is larger than the sum of its proper divisors (121495).

306005 is a wasteful number, since it uses less digits than its factorization.

306005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1268 (or 1261 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 14.

The square root of 306005 is about 553.1771868036. The cubic root of 306005 is about 67.3870080357.

The spelling of 306005 in words is "three hundred six thousand, five".

Divisors: 1 5 7 35 49 245 1249 6245 8743 43715 61201 306005