Search a number
-
+
16338084 = 2237672903
BaseRepresentation
bin111110010100…
…110010100100
31010202001122020
4332110302210
513140304314
61342103140
7255604620
oct76246244
933661566
1016338084
11924a054
12557aab0
133500709
142254180
15167ada9
hexf94ca4

16338084 has 48 divisors (see below), whose sum is σ = 44233728. Its totient is φ = 4596768.

The previous prime is 16338083. The next prime is 16338089. The reversal of 16338084 is 48083361.

16338084 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (16338083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4177 + ... + 7079.

It is an arithmetic number, because the mean of its divisors is an integer number (921536).

Almost surely, 216338084 is an apocalyptic number.

16338084 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16338084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22116864).

16338084 is an abundant number, since it is smaller than the sum of its proper divisors (27895644).

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

16338084 is a wasteful number, since it uses less digits than its factorization.

16338084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2984 (or 2982 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 16338084 is about 4042.0395841703. The cubic root of 16338084 is about 253.7466836099.

The spelling of 16338084 in words is "sixteen million, three hundred thirty-eight thousand, eighty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 67 84 134 201 268 402 469 804 938 1407 1876 2814 2903 5628 5806 8709 11612 17418 20321 34836 40642 60963 81284 121926 194501 243852 389002 583503 778004 1167006 1361507 2334012 2723014 4084521 5446028 8169042 16338084