Search a number
-
+
320057433 = 3311853979
BaseRepresentation
bin10011000100111…
…011000001011001
3211022020121021000
4103010323001121
51123413314213
651431535213
710634305023
oct2304730131
9738217230
10320057433
11154733983
128b22a509
13514013c7
1430715013
151d171c73
hex1313b059

320057433 has 8 divisors (see below), whose sum is σ = 474159200. Its totient is φ = 213371604.

The previous prime is 320057431. The next prime is 320057449. The reversal of 320057433 is 334750023.

It is not a de Polignac number, because 320057433 - 21 = 320057431 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 11853979 = 320057433 / (3 + 2 + 0 + 0 + 5 + 7 + 4 + 3 + 3).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 320057397 and 320057406.

It is not an unprimeable number, because it can be changed into a prime (320057431) 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 7 ways as a sum of consecutive naturals, for example, 5926963 + ... + 5927016.

It is an arithmetic number, because the mean of its divisors is an integer number (59269900).

Almost surely, 2320057433 is an apocalyptic number.

It is an amenable number.

320057433 is a deficient number, since it is larger than the sum of its proper divisors (154101767).

320057433 is a wasteful number, since it uses less digits than its factorization.

320057433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11853988 (or 11853982 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 27.

The square root of 320057433 is about 17890.1490491276. The cubic root of 320057433 is about 684.0312966597.

The spelling of 320057433 in words is "three hundred twenty million, fifty-seven thousand, four hundred thirty-three".

Divisors: 1 3 9 27 11853979 35561937 106685811 320057433