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540320313 = 31324157487
BaseRepresentation
bin100000001101001…
…010001000111001
31101122201010010110
4200031022020321
52101310222223
6125340534533
716250434611
oct4015121071
91348633113
10540320313
11257aa6715
12130b51449
1387c31680
1451a8da41
153267ed93
hex2034a239

540320313 has 16 divisors (see below), whose sum is σ = 779077376. Its totient is φ = 331119360.

The previous prime is 540320273. The next prime is 540320321. The reversal of 540320313 is 313023045.

It is not a de Polignac number, because 540320313 - 28 = 540320057 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 540320313.

It is not an unprimeable number, because it can be changed into a prime (540320353) 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, 19345 + ... + 38142.

It is an arithmetic number, because the mean of its divisors is an integer number (48692336).

Almost surely, 2540320313 is an apocalyptic number.

It is an amenable number.

540320313 is a deficient number, since it is larger than the sum of its proper divisors (238757063).

540320313 is a wasteful number, since it uses less digits than its factorization.

540320313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57744.

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 540320313 is about 23244.7910939204. The cubic root of 540320313 is about 814.4862648660.

Adding to 540320313 its reverse (313023045), we get a palindrome (853343358).

The spelling of 540320313 in words is "five hundred forty million, three hundred twenty thousand, three hundred thirteen".

Divisors: 1 3 13 39 241 723 3133 9399 57487 172461 747331 2241993 13854367 41563101 180106771 540320313