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2440307313 = 321719839459
BaseRepresentation
bin1001000101110100…
…0010001001110001
320022001212110022100
42101131002021301
514444204313223
61042052131013
7114321161403
oct22135021161
96261773270
102440307313
111042543004
12581306a69
132cb75c332
14192152b73
15e4389043
hex91742271

2440307313 has 24 divisors (see below), whose sum is σ = 3928672800. Its totient is φ = 1450583424.

The previous prime is 2440307297. The next prime is 2440307329. The reversal of 2440307313 is 3137030442.

2440307313 is a `hidden beast` number, since 2 + 4 + 40 + 307 + 313 = 666.

It is an interprime number because it is at equal distance from previous prime (2440307297) and next prime (2440307329).

It is not a de Polignac number, because 2440307313 - 24 = 2440307297 is a prime.

It is a super-3 number, since 3×24403073133 (a number of 29 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2440307113) 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 23 ways as a sum of consecutive naturals, for example, 416823 + ... + 422636.

It is an arithmetic number, because the mean of its divisors is an integer number (163694700).

Almost surely, 22440307313 is an apocalyptic number.

It is an amenable number.

2440307313 is a deficient number, since it is larger than the sum of its proper divisors (1488365487).

2440307313 is a wasteful number, since it uses less digits than its factorization.

2440307313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 839501 (or 839498 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 2440307313 is about 49399.4667278909. The cubic root of 2440307313 is about 1346.3196167733.

Adding to 2440307313 its reverse (3137030442), we get a palindrome (5577337755).

The spelling of 2440307313 in words is "two billion, four hundred forty million, three hundred seven thousand, three hundred thirteen".

Divisors: 1 3 9 17 19 51 57 153 171 323 969 2907 839459 2518377 7555131 14270803 15949721 42812409 47849163 128437227 143547489 271145257 813435771 2440307313