Search a number
-
+
9338384 = 241197547
BaseRepresentation
bin100011100111…
…111000010000
3122120102212002
4203213320100
54342312014
6532053132
7142242416
oct43477020
918512762
109338384
1152a9080
1231641a8
131c1c693
1413512b6
15c46dde
hex8e7e10

9338384 has 40 divisors (see below), whose sum is σ = 19977888. Its totient is φ = 4193280.

The previous prime is 9338369. The next prime is 9338387. The reversal of 9338384 is 4838339.

It is a d-powerful number, because it can be written as 94 + 311 + 311 + 87 + 314 + 87 + 44 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9338387) 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 7 ways as a sum of consecutive naturals, for example, 16799 + ... + 17345.

Almost surely, 29338384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9338384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9988944).

9338384 is an abundant number, since it is smaller than the sum of its proper divisors (10639504).

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

9338384 is a wasteful number, since it uses less digits than its factorization.

9338384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663 (or 657 counting only the distinct ones).

The product of its digits is 62208, while the sum is 38.

The square root of 9338384 is about 3055.8769608739. The cubic root of 9338384 is about 210.5832914387.

The spelling of 9338384 in words is "nine million, three hundred thirty-eight thousand, three hundred eighty-four".

Divisors: 1 2 4 8 11 16 22 44 88 97 176 194 388 547 776 1067 1094 1552 2134 2188 4268 4376 6017 8536 8752 12034 17072 24068 48136 53059 96272 106118 212236 424472 583649 848944 1167298 2334596 4669192 9338384