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540450324 = 223234334373
BaseRepresentation
bin100000001101101…
…001111000010100
31101122221201110200
4200031221320110
52101323402244
6125343420500
716251515631
oct4015517024
91348851420
10540450324
11258085367
12130bb4730
1387c788bb
1451ac5188
15326a8669
hex20369e14

540450324 has 36 divisors (see below), whose sum is σ = 1366848756. Its totient is φ = 180056448.

The previous prime is 540450319. The next prime is 540450329. The reversal of 540450324 is 423054045.

It is an interprime number because it is at equal distance from previous prime (540450319) and next prime (540450329).

It can be written as a sum of positive squares in 2 ways, for example, as 243921924 + 296528400 = 15618^2 + 17220^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540450329) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 121402 + ... + 125774.

It is an arithmetic number, because the mean of its divisors is an integer number (37968021).

Almost surely, 2540450324 is an apocalyptic number.

It is an amenable number.

540450324 is an abundant number, since it is smaller than the sum of its proper divisors (826398432).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

540450324 is a wasteful number, since it uses less digits than its factorization.

540450324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7816 (or 7811 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 540450324 is about 23247.5874877373. The cubic root of 540450324 is about 814.5515864165.

The spelling of 540450324 in words is "five hundred forty million, four hundred fifty thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 3433 4373 6866 8746 10299 13119 13732 17492 20598 26238 30897 39357 41196 52476 61794 78714 123588 157428 15012509 30025018 45037527 60050036 90075054 135112581 180150108 270225162 540450324