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11340241 = 1121737149
BaseRepresentation
bin101011010000…
…100111010001
3210100010212221
4223100213101
510400341431
61043021041
7165250633
oct53204721
923303787
1011340241
116446100
12396a781
132470903
141712a53
15ee0111
hexad09d1

11340241 has 24 divisors (see below), whose sum is σ = 13645800. Its totient is φ = 9377280.

The previous prime is 11340227. The next prime is 11340257. The reversal of 11340241 is 14204311.

11340241 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3097600 + 8242641 = 1760^2 + 2871^2 .

It is not a de Polignac number, because 11340241 - 219 = 10815953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11340271) 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, 76035 + ... + 76183.

It is an arithmetic number, because the mean of its divisors is an integer number (568575).

Almost surely, 211340241 is an apocalyptic number.

11340241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11340241 is a deficient number, since it is larger than the sum of its proper divisors (2305559).

11340241 is a wasteful number, since it uses less digits than its factorization.

11340241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 11340241 is about 3367.5274312172. The cubic root of 11340241 is about 224.6677631558.

Adding to 11340241 its reverse (14204311), we get a palindrome (25544552).

The spelling of 11340241 in words is "eleven million, three hundred forty thousand, two hundred forty-one".

Divisors: 1 11 17 37 121 149 187 407 629 1639 2057 2533 4477 5513 6919 18029 27863 60643 76109 93721 306493 667073 1030931 11340241