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540326466 = 232313726171
BaseRepresentation
bin100000001101001…
…011101001000010
31101122201102120100
4200031023221002
52101310421331
6125341023230
716250461551
oct4015135102
91348642510
10540326466
112580002a9
12130b54b16
1387c34404
1451a91d98
1532681ae6
hex2034ba42

540326466 has 48 divisors (see below), whose sum is σ = 1241180928. Its totient is φ = 169581600.

The previous prime is 540326461. The next prime is 540326477. The reversal of 540326466 is 664623045.

540326466 is a `hidden beast` number, since 5 + 4 + 0 + 3 + 2 + 646 + 6 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 540326466.

It is not an unprimeable number, because it can be changed into a prime (540326461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7561 + ... + 33731.

It is an arithmetic number, because the mean of its divisors is an integer number (25857936).

Almost surely, 2540326466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540326466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620590464).

540326466 is an abundant number, since it is smaller than the sum of its proper divisors (700854462).

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

540326466 is a wasteful number, since it uses less digits than its factorization.

540326466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26247 (or 26244 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 540326466 is about 23244.9234457763. The cubic root of 540326466 is about 814.4893565599.

The spelling of 540326466 in words is "five hundred forty million, three hundred twenty-six thousand, four hundred sixty-six".

Divisors: 1 2 3 6 9 18 31 37 62 74 93 111 186 222 279 333 558 666 1147 2294 3441 6882 10323 20646 26171 52342 78513 157026 235539 471078 811301 968327 1622602 1936654 2433903 2904981 4867806 5809962 7301709 8714943 14603418 17429886 30018137 60036274 90054411 180108822 270163233 540326466