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2740914 = 23211109127
BaseRepresentation
bin1010011101001010110010
312011020211100
422131022302
51200202124
6134425230
732204001
oct12351262
95136740
102740914
111602320
12b02216
1374c757
14514c38
153921c9
hex29d2b2

2740914 has 48 divisors (see below), whose sum is σ = 6589440. Its totient is φ = 816480.

The previous prime is 2740889. The next prime is 2740919. The reversal of 2740914 is 4190472.

2740914 = T141 + T142 + ... + T267.

It is a happy number.

2740914 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2740919) 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 23 ways as a sum of consecutive naturals, for example, 21519 + ... + 21645.

It is an arithmetic number, because the mean of its divisors is an integer number (137280).

22740914 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2740914, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3294720).

2740914 is an abundant number, since it is smaller than the sum of its proper divisors (3848526).

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

2740914 is a wasteful number, since it uses less digits than its factorization.

2740914 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 2740914 is about 1655.5705965014. The cubic root of 2740914 is about 139.9474973198.

The spelling of 2740914 in words is "two million, seven hundred forty thousand, nine hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 109 127 198 218 254 327 381 654 762 981 1143 1199 1397 1962 2286 2398 2794 3597 4191 7194 8382 10791 12573 13843 21582 25146 27686 41529 83058 124587 152273 249174 304546 456819 913638 1370457 2740914