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306493 = 11217149
BaseRepresentation
bin1001010110100111101
3120120102121
41022310331
534301433
610322541
72414365
oct1126475
9516377
10306493
1119a300
12129451
13a9675
147d9a5
1560c2d
hex4ad3d

306493 has 12 divisors (see below), whose sum is σ = 359100. Its totient is φ = 260480.

The previous prime is 306491. The next prime is 306503. The reversal of 306493 is 394603.

It can be written as a sum of positive squares in 2 ways, for example, as 131769 + 174724 = 363^2 + 418^2 .

It is not a de Polignac number, because 306493 - 21 = 306491 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (306491) 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, 1983 + ... + 2131.

It is an arithmetic number, because the mean of its divisors is an integer number (29925).

2306493 is an apocalyptic number.

It is an amenable number.

306493 is a deficient number, since it is larger than the sum of its proper divisors (52607).

306493 is a wasteful number, since it uses less digits than its factorization.

306493 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 25.

The square root of 306493 is about 553.6180994151. The cubic root of 306493 is about 67.4228107126.

The spelling of 306493 in words is "three hundred six thousand, four hundred ninety-three".

Divisors: 1 11 17 121 149 187 1639 2057 2533 18029 27863 306493