Search a number
-
+
319125768 = 233131760167
BaseRepresentation
bin10011000001010…
…111100100001000
3211020111021020220
4103001113210020
51123144011033
651355550040
710623344553
oct2301274410
9736437226
10319125768
11154157a05
128aa5b320
1351166320
143055169a
151d03abb3
hex13057908

319125768 has 64 divisors (see below), whose sum is σ = 909740160. Its totient is φ = 92414976.

The previous prime is 319125707. The next prime is 319125769. The reversal of 319125768 is 867521913.

319125768 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (319125769) 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 15 ways as a sum of consecutive naturals, for example, 24780 + ... + 35387.

It is an arithmetic number, because the mean of its divisors is an integer number (14214690).

Almost surely, 2319125768 is an apocalyptic number.

It is an amenable number.

319125768 is an abundant number, since it is smaller than the sum of its proper divisors (590614392).

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

319125768 is a wasteful number, since it uses less digits than its factorization.

319125768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60206 (or 60202 counting only the distinct ones).

The product of its digits is 90720, while the sum is 42.

The square root of 319125768 is about 17864.0915805982. The cubic root of 319125768 is about 683.3669290377.

The spelling of 319125768 in words is "three hundred nineteen million, one hundred twenty-five thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 17 24 26 34 39 51 52 68 78 102 104 136 156 204 221 312 408 442 663 884 1326 1768 2652 5304 60167 120334 180501 240668 361002 481336 722004 782171 1022839 1444008 1564342 2045678 2346513 3068517 3128684 4091356 4693026 6137034 6257368 8182712 9386052 12274068 13296907 18772104 24548136 26593814 39890721 53187628 79781442 106375256 159562884 319125768