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540334205 = 51753277433
BaseRepresentation
bin100000001101001…
…101100001111101
31101122201211011222
4200031031201331
52101311143310
6125341123125
716250523245
oct4015154175
91348654158
10540334205
112580060a4
12130b594a5
1387c37aa8
1451a94b25
1532684055
hex2034d87d

540334205 has 32 divisors (see below), whose sum is σ = 703642464. Its totient is φ = 396804096.

The previous prime is 540334181. The next prime is 540334237. The reversal of 540334205 is 502433045.

It can be written as a sum of positive squares in 16 ways, for example, as 173343556 + 366990649 = 13166^2 + 19157^2 .

It is a cyclic number.

It is not a de Polignac number, because 540334205 - 228 = 271898749 is a prime.

It is a super-2 number, since 2×5403342052 = 583922106185964050, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1247669 + ... + 1248101.

It is an arithmetic number, because the mean of its divisors is an integer number (21988827).

Almost surely, 2540334205 is an apocalyptic number.

It is an amenable number.

540334205 is a deficient number, since it is larger than the sum of its proper divisors (163308259).

540334205 is a wasteful number, since it uses less digits than its factorization.

540334205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 785.

The product of its (nonzero) digits is 7200, while the sum is 26.

The square root of 540334205 is about 23245.0899116351. The cubic root of 540334205 is about 814.4932451368.

The spelling of 540334205 in words is "five hundred forty million, three hundred thirty-four thousand, two hundred five".

Divisors: 1 5 17 53 85 265 277 433 901 1385 2165 4505 4709 7361 14681 22949 23545 36805 73405 114745 119941 249577 390133 599705 1247885 1950665 2038997 6356873 10194985 31784365 108066841 540334205