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540436341 = 31743281877
BaseRepresentation
bin100000001101100…
…110011101110101
31101122221000021210
4200031212131311
52101322430331
6125343232033
716251430104
oct4015463565
91348830253
10540436341
11258075905
12130ba8619
1387c72423
1451ac003b
15326a4446
hex20366775

540436341 has 32 divisors (see below), whose sum is σ = 784384128. Its totient is φ = 329656320.

The previous prime is 540436339. The next prime is 540436357. The reversal of 540436341 is 143634045.

540436341 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 540436341 - 21 = 540436339 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 540436299 and 540436308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540436321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 615795 + ... + 616671.

It is an arithmetic number, because the mean of its divisors is an integer number (24512004).

Almost surely, 2540436341 is an apocalyptic number.

540436341 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

It is an amenable number.

540436341 is a deficient number, since it is larger than the sum of its proper divisors (243947787).

540436341 is a wasteful number, since it uses less digits than its factorization.

540436341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1221.

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 540436341 is about 23247.2867449085. The cubic root of 540436341 is about 814.5445614273.

The spelling of 540436341 in words is "five hundred forty million, four hundred thirty-six thousand, three hundred forty-one".

Divisors: 1 3 17 43 51 129 281 731 843 877 2193 2631 4777 12083 14331 14909 36249 37711 44727 113133 205411 246437 616233 641087 739311 1923261 4189429 10596791 12568287 31790373 180145447 540436341