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540305331 = 31512335119
BaseRepresentation
bin100000001101000…
…110011110110011
31101122200100120120
4200031012132303
52101304232311
6125340341323
716250343126
oct4015063663
91348610516
10540305331
11257a96435
12130b44843
1387c278c7
1451a883bd
153267a706
hex203467b3

540305331 has 16 divisors (see below), whose sum is σ = 728432640. Its totient is φ = 356212800.

The previous prime is 540305323. The next prime is 540305333. The reversal of 540305331 is 133503045.

It is a happy number.

It is not a de Polignac number, because 540305331 - 23 = 540305323 is a prime.

It is a super-2 number, since 2×5403053312 = 583859701414039122, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (540305333) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102990 + ... + 108108.

It is an arithmetic number, because the mean of its divisors is an integer number (45527040).

Almost surely, 2540305331 is an apocalyptic number.

540305331 is a deficient number, since it is larger than the sum of its proper divisors (188127309).

540305331 is a wasteful number, since it uses less digits than its factorization.

540305331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5506.

The product of its (nonzero) digits is 2700, while the sum is 24.

The square root of 540305331 is about 23244.4688259379. The cubic root of 540305331 is about 814.4787367722.

Adding to 540305331 its reverse (133503045), we get a palindrome (673808376).

The spelling of 540305331 in words is "five hundred forty million, three hundred five thousand, three hundred thirty-one".

Divisors: 1 3 151 233 453 699 5119 15357 35183 105549 772969 1192727 2318907 3578181 180101777 540305331