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320341221 = 32291816781
BaseRepresentation
bin10011000110000…
…000010011100101
3211022210000112200
4103012000103211
51124001404341
651442005113
710636566264
oct2306002345
9738700480
10320341221
11154908112
128b346799
13514a0625
143078a5db
151d1cadb6
hex131804e5

320341221 has 24 divisors (see below), whose sum is σ = 481386360. Its totient is φ = 205027200.

The previous prime is 320341193. The next prime is 320341223. The reversal of 320341221 is 122143023.

320341221 is a `hidden beast` number, since 320 + 341 + 2 + 2 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 324900 + 320016321 = 570^2 + 17889^2 .

It is not a de Polignac number, because 320341221 - 26 = 320341157 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 320341194 and 320341203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320341223) 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 23 ways as a sum of consecutive naturals, for example, 43851 + ... + 50631.

It is an arithmetic number, because the mean of its divisors is an integer number (20057765).

Almost surely, 2320341221 is an apocalyptic number.

It is an amenable number.

320341221 is a deficient number, since it is larger than the sum of its proper divisors (161045139).

320341221 is a wasteful number, since it uses less digits than its factorization.

320341221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6997 (or 6994 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 320341221 is about 17898.0786957707. The cubic root of 320341221 is about 684.2334088516.

Adding to 320341221 its reverse (122143023), we get a palindrome (442484244).

The spelling of 320341221 in words is "three hundred twenty million, three hundred forty-one thousand, two hundred twenty-one".

Divisors: 1 3 9 29 87 181 261 543 1629 5249 6781 15747 20343 47241 61029 196649 589947 1227361 1769841 3682083 11046249 35593469 106780407 320341221