Search a number
-
+
18341648 = 2413109809
BaseRepresentation
bin100010111110…
…1111100010000
31021111212000022
41011331330100
514143413043
61453043012
7311621123
oct105757420
937455008
1018341648
11a398396
126186468
133a52660
1426163ba
151924868
hex117df10

18341648 has 40 divisors (see below), whose sum is σ = 38669400. Its totient is φ = 8377344.

The previous prime is 18341647. The next prime is 18341671. The reversal of 18341648 is 84614381.

It can be written as a sum of positive squares in 4 ways, for example, as 4443664 + 13897984 = 2108^2 + 3728^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18341647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22268 + ... + 23076.

It is an arithmetic number, because the mean of its divisors is an integer number (966735).

Almost surely, 218341648 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 18341648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19334700).

18341648 is an abundant number, since it is smaller than the sum of its proper divisors (20327752).

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

18341648 is a wasteful number, since it uses less digits than its factorization.

18341648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 939 (or 933 counting only the distinct ones).

The product of its digits is 18432, while the sum is 35.

The square root of 18341648 is about 4282.7150267091. The cubic root of 18341648 is about 263.7218527497.

The spelling of 18341648 in words is "eighteen million, three hundred forty-one thousand, six hundred forty-eight".

Divisors: 1 2 4 8 13 16 26 52 104 109 208 218 436 809 872 1417 1618 1744 2834 3236 5668 6472 10517 11336 12944 21034 22672 42068 84136 88181 168272 176362 352724 705448 1146353 1410896 2292706 4585412 9170824 18341648