Search a number
-
+
384433038 = 232117326597
BaseRepresentation
bin10110111010011…
…111101110001110
3222210101012222200
4112322133232032
51241403324123
6102051422330
712345425013
oct2672375616
9883335880
10384433038
11188003260
12a88b49a6
1361850b92
14390b170a
1523b3b143
hex16e9fb8e

384433038 has 48 divisors (see below), whose sum is σ = 921141936. Its totient is φ = 114894720.

The previous prime is 384433037. The next prime is 384433043. The reversal of 384433038 is 830334483.

It is a junction number, because it is equal to n+sod(n) for n = 384432993 and 384433011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384433037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1156 + ... + 27752.

It is an arithmetic number, because the mean of its divisors is an integer number (19190457).

Almost surely, 2384433038 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 384433038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460570968).

384433038 is an abundant number, since it is smaller than the sum of its proper divisors (536708898).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

384433038 is a wasteful number, since it uses less digits than its factorization.

384433038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26689 (or 26686 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 384433038 is about 19606.9640179198. The cubic root of 384433038 is about 727.1213575018.

The spelling of 384433038 in words is "three hundred eighty-four million, four hundred thirty-three thousand, thirty-eight".

Divisors: 1 2 3 6 9 11 18 22 33 66 73 99 146 198 219 438 657 803 1314 1606 2409 4818 7227 14454 26597 53194 79791 159582 239373 292567 478746 585134 877701 1755402 1941581 2633103 3883162 5266206 5824743 11649486 17474229 21357391 34948458 42714782 64072173 128144346 192216519 384433038