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320313321 = 32437910477
BaseRepresentation
bin10011000101111…
…001011111101001
3211022201121021100
4103011321133221
51124000011241
651441232013
710636422036
oct2305713751
9738647240
10320313321
11154899159
128b332609
1351490a13
143078038d
151d1c29b6
hex131797e9

320313321 has 24 divisors (see below), whose sum is σ = 479473280. Its totient is φ = 205916256.

The previous prime is 320313317. The next prime is 320313373. The reversal of 320313321 is 123313023.

320313321 is a `hidden beast` number, since 32 + 0 + 313 + 321 = 666.

It is not a de Polignac number, because 320313321 - 22 = 320313317 is a prime.

It is a super-2 number, since 2×3203133212 = 205201247220098082, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 320313294 and 320313303.

It is not an unprimeable number, because it can be changed into a prime (320313391) 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 23 ways as a sum of consecutive naturals, for example, 25335 + ... + 35811.

Almost surely, 2320313321 is an apocalyptic number.

It is an amenable number.

320313321 is a deficient number, since it is larger than the sum of its proper divisors (159159959).

320313321 is a wasteful number, since it uses less digits than its factorization.

320313321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10605 (or 10602 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 320313321 is about 17897.2992655317. The cubic root of 320313321 is about 684.2135439231.

Adding to 320313321 its reverse (123313023), we get a palindrome (443626344).

The spelling of 320313321 in words is "three hundred twenty million, three hundred thirteen thousand, three hundred twenty-one".

Divisors: 1 3 9 43 79 129 237 387 711 3397 10191 10477 30573 31431 94293 450511 827683 1351533 2483049 4054599 7449147 35590369 106771107 320313321