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16189344 = 253267839
BaseRepresentation
bin111101110000…
…011110100000
31010110111121100
4331300132200
513121024334
61334554400
7254415153
oct75603640
933414540
1016189344
119158326
125508a00
13347aac2
142215c9a
15164bc99
hexf707a0

16189344 has 72 divisors (see below), whose sum is σ = 46781280. Its totient is φ = 5309568.

The previous prime is 16189343. The next prime is 16189361. The reversal of 16189344 is 44398161.

16189344 is a `hidden beast` number, since 1 + 618 + 9 + 34 + 4 = 666.

16189344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 16189299 and 16189308.

It is not an unprimeable number, because it can be changed into a prime (16189343) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18877 + ... + 19715.

It is an arithmetic number, because the mean of its divisors is an integer number (649740).

Almost surely, 216189344 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 16189344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23390640).

16189344 is an abundant number, since it is smaller than the sum of its proper divisors (30591936).

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

16189344 is a wasteful number, since it uses less digits than its factorization.

16189344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 922 (or 911 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 16189344 is about 4023.5983895016. The cubic root of 16189344 is about 252.9743082953.

The spelling of 16189344 in words is "sixteen million, one hundred eighty-nine thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 67 72 96 134 144 201 268 288 402 536 603 804 839 1072 1206 1608 1678 2144 2412 2517 3216 3356 4824 5034 6432 6712 7551 9648 10068 13424 15102 19296 20136 26848 30204 40272 56213 60408 80544 112426 120816 168639 224852 241632 337278 449704 505917 674556 899408 1011834 1349112 1798816 2023668 2698224 4047336 5396448 8094672 16189344