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384933321 = 32101423469
BaseRepresentation
bin10110111100011…
…001110111001001
3222211022122020200
4112330121313021
51242020331241
6102110242413
712352610403
oct2674316711
9884278220
10384933321
11188315113
12a8ab6409
13619977c6
14391a1b73
1523bd94b6
hex16f19dc9

384933321 has 12 divisors (see below), whose sum is σ = 561521220. Its totient is φ = 254080800.

The previous prime is 384933319. The next prime is 384933323. The reversal of 384933321 is 123339483.

It is an interprime number because it is at equal distance from previous prime (384933319) and next prime (384933323).

It can be written as a sum of positive squares in 2 ways, for example, as 338964921 + 45968400 = 18411^2 + 6780^2 .

It is not a de Polignac number, because 384933321 - 21 = 384933319 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (384933323) 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, 210826 + ... + 212643.

It is an arithmetic number, because the mean of its divisors is an integer number (46793435).

Almost surely, 2384933321 is an apocalyptic number.

It is an amenable number.

384933321 is a deficient number, since it is larger than the sum of its proper divisors (176587899).

384933321 is a wasteful number, since it uses less digits than its factorization.

384933321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423576 (or 423573 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 384933321 is about 19619.7176585189. The cubic root of 384933321 is about 727.4366345774.

It can be divided in two parts, 38493 and 3321, that added together give a palindrome (41814).

The spelling of 384933321 in words is "three hundred eighty-four million, nine hundred thirty-three thousand, three hundred twenty-one".

Divisors: 1 3 9 101 303 909 423469 1270407 3811221 42770369 128311107 384933321