Search a number
-
+
309768138 = 236212461
BaseRepresentation
bin10010011101101…
…010111111001010
3210120212212000000
4102131222333022
51113300040023
650423223430
710450662051
oct2235527712
9716785000
10309768138
11149946429
12878a7b76
134c23ac74
142d1d7398
151c2dd243
hex1276afca

309768138 has 28 divisors (see below), whose sum is σ = 696662898. Its totient is φ = 103255560.

The previous prime is 309768131. The next prime is 309768247. The reversal of 309768138 is 831867903.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 307055529 + 2712609 = 17523^2 + 1647^2 .

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 309768093 and 309768102.

It is not an unprimeable number, because it can be changed into a prime (309768131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 104773 + ... + 107688.

Almost surely, 2309768138 is an apocalyptic number.

309768138 is an abundant number, since it is smaller than the sum of its proper divisors (386894760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

309768138 is an equidigital number, since it uses as much as digits as its factorization.

309768138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212481 (or 212466 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 309768138 is about 17600.2311916634. The cubic root of 309768138 is about 676.6211699318.

The spelling of 309768138 in words is "three hundred nine million, seven hundred sixty-eight thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 729 1458 212461 424922 637383 1274766 1912149 3824298 5736447 11472894 17209341 34418682 51628023 103256046 154884069 309768138