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320323041 = 32233152753
BaseRepresentation
bin10011000101111…
…011110111100001
3211022202002121100
4103011323313201
51124000314131
651441345013
710636462263
oct2305736741
9738662540
10320323041
111548a5495
128b338169
135149527c
1430783b33
151d1c57e6
hex1317bde1

320323041 has 12 divisors (see below), whose sum is σ = 464677668. Its totient is φ = 212630784.

The previous prime is 320323013. The next prime is 320323063. The reversal of 320323041 is 140323023.

It can be written as a sum of positive squares in 2 ways, for example, as 196112016 + 124211025 = 14004^2 + 11145^2 .

It is not a de Polignac number, because 320323041 - 213 = 320314849 is a prime.

It is not an unprimeable number, because it can be changed into a prime (320323141) 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 11 ways as a sum of consecutive naturals, for example, 74280 + ... + 78473.

It is an arithmetic number, because the mean of its divisors is an integer number (38723139).

Almost surely, 2320323041 is an apocalyptic number.

It is an amenable number.

320323041 is a deficient number, since it is larger than the sum of its proper divisors (144354627).

320323041 is a wasteful number, since it uses less digits than its factorization.

320323041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152992 (or 152989 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 320323041 is about 17897.5708128226. The cubic root of 320323041 is about 684.2204647387.

Subtracting from 320323041 its sum of digits (18), we obtain a palindrome (320323023).

Adding to 320323041 its reverse (140323023), we get a palindrome (460646064).

It can be divided in two parts, 3203 and 23041, that added together give a square (26244 = 1622).

The spelling of 320323041 in words is "three hundred twenty million, three hundred twenty-three thousand, forty-one".

Divisors: 1 3 9 233 699 2097 152753 458259 1374777 35591449 106774347 320323041