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2682336 = 25327941
BaseRepresentation
bin1010001110110111100000
312001021110210
422032313200
51141313321
6133254120
731541136
oct12166740
95037423
102682336
111572308
12a94340
1372bba7
144db756
1537eb76
hex28ede0

2682336 has 24 divisors (see below), whose sum is σ = 7041384. Its totient is φ = 894080.

The previous prime is 2682331. The next prime is 2682347. The reversal of 2682336 is 6332862.

2682336 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 (24).

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

It is a d-powerful number, because it can be written as 29 + 6 + 8 + 221 + 38 + 312 + 66 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2682331) 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 3 ways as a sum of consecutive naturals, for example, 13875 + ... + 14066.

It is an arithmetic number, because the mean of its divisors is an integer number (293391).

22682336 is an apocalyptic number.

It is an amenable number.

2682336 is an abundant number, since it is smaller than the sum of its proper divisors (4359048).

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

2682336 is a wasteful number, since it uses less digits than its factorization.

2682336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27954 (or 27946 counting only the distinct ones).

The product of its digits is 10368, while the sum is 30.

The square root of 2682336 is about 1637.7838685248. The cubic root of 2682336 is about 138.9433373245.

The spelling of 2682336 in words is "two million, six hundred eighty-two thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 27941 55882 83823 111764 167646 223528 335292 447056 670584 894112 1341168 2682336