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306135193 = 72131134253
BaseRepresentation
bin10010001111110…
…100000010011001
3210100001021112111
4102033310002121
51111332311233
650213312321
710405051300
oct2217640231
9710037474
10306135193
111478949a1
12866356a1
134b5684b0
142c92d437
151bd21acd
hex123f4099

306135193 has 24 divisors (see below), whose sum is σ = 386994888. Its totient is φ = 240016896.

The previous prime is 306135187. The next prime is 306135211. The reversal of 306135193 is 391531603.

It can be written as a sum of positive squares in 4 ways, for example, as 37601424 + 268533769 = 6132^2 + 16387^2 .

It is not a de Polignac number, because 306135193 - 25 = 306135161 is a prime.

It is not an unprimeable number, because it can be changed into a prime (306135293) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69855 + ... + 74107.

It is an arithmetic number, because the mean of its divisors is an integer number (16124787).

Almost surely, 2306135193 is an apocalyptic number.

It is an amenable number.

306135193 is a deficient number, since it is larger than the sum of its proper divisors (80859695).

306135193 is a wasteful number, since it uses less digits than its factorization.

306135193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4393 (or 4386 counting only the distinct ones).

The product of its (nonzero) digits is 7290, while the sum is 31.

The square root of 306135193 is about 17496.7194925220. The cubic root of 306135193 is about 673.9656351441.

Adding to 306135193 its reverse (391531603), we get a palindrome (697666796).

The spelling of 306135193 in words is "three hundred six million, one hundred thirty-five thousand, one hundred ninety-three".

Divisors: 1 7 13 49 91 113 637 791 1469 4253 5537 10283 29771 55289 71981 208397 387023 480589 2709161 3364123 6247657 23548861 43733599 306135193