Search a number
-
+
540345345 = 35314392647
BaseRepresentation
bin100000001101010…
…000010000000001
31101122202101110120
4200031100100001
52101312022340
6125341250453
716250600601
oct4015202001
91348671416
10540345345
11258013501
12130b63a29
1387c3cb97
1451a98c01
15326874d0
hex20350401

540345345 has 32 divisors (see below), whose sum is σ = 894812160. Its totient is φ = 278147520.

The previous prime is 540345341. The next prime is 540345347. The reversal of 540345345 is 543543045.

It is not a de Polignac number, because 540345345 - 22 = 540345341 is a prime.

It is not an unprimeable number, because it can be changed into a prime (540345341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 202812 + ... + 205458.

It is an arithmetic number, because the mean of its divisors is an integer number (27962880).

Almost surely, 2540345345 is an apocalyptic number.

It is an amenable number.

540345345 is a deficient number, since it is larger than the sum of its proper divisors (354466815).

540345345 is a wasteful number, since it uses less digits than its factorization.

540345345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3125.

The product of its (nonzero) digits is 72000, while the sum is 33.

The square root of 540345345 is about 23245.3295308972. The cubic root of 540345345 is about 814.4988425321.

The spelling of 540345345 in words is "five hundred forty million, three hundred forty-five thousand, three hundred forty-five".

Divisors: 1 3 5 15 31 93 155 439 465 1317 2195 2647 6585 7941 13235 13609 39705 40827 68045 82057 204135 246171 410285 1162033 1230855 3486099 5810165 17430495 36023023 108069069 180115115 540345345