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2742311 = 1113127151
BaseRepresentation
bin1010011101100000100111
312011022202002
422131200213
51200223221
6134435515
732211035
oct12354047
95138662
102742311
111603380
12b02b9b
13750290
14515555
1539280b
hex29d827

2742311 has 16 divisors (see below), whose sum is σ = 3268608. Its totient is φ = 2268000.

The previous prime is 2742293. The next prime is 2742317. The reversal of 2742311 is 1132472.

2742311 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 2742311 - 26 = 2742247 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2742317) 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 15 ways as a sum of consecutive naturals, for example, 18086 + ... + 18236.

It is an arithmetic number, because the mean of its divisors is an integer number (204288).

22742311 is an apocalyptic number.

2742311 is a deficient number, since it is larger than the sum of its proper divisors (526297).

2742311 is a wasteful number, since it uses less digits than its factorization.

2742311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302.

The product of its digits is 336, while the sum is 20.

The square root of 2742311 is about 1655.9924516736. The cubic root of 2742311 is about 139.9712696146.

Adding to 2742311 its reverse (1132472), we get a palindrome (3874783).

The spelling of 2742311 in words is "two million, seven hundred forty-two thousand, three hundred eleven".

Divisors: 1 11 13 127 143 151 1397 1651 1661 1963 18161 19177 21593 210947 249301 2742311