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540334300 = 225211491213
BaseRepresentation
bin100000001101001…
…101100011011100
31101122201211022111
4200031031203130
52101311144200
6125341123404
716250523442
oct4015154334
91348654274
10540334300
11258006180
12130b59564
1387c37b4c
1451a94b92
15326840ba
hex2034d8dc

540334300 has 36 divisors (see below), whose sum is σ = 1279121256. Its totient is φ = 196484800.

The previous prime is 540334261. The next prime is 540334313. The reversal of 540334300 is 3433045.

It is a super-2 number, since 2×5403343002 = 583922311512980000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 244507 + ... + 246706.

It is an arithmetic number, because the mean of its divisors is an integer number (35531146).

Almost surely, 2540334300 is an apocalyptic number.

540334300 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

540334300 is an abundant number, since it is smaller than the sum of its proper divisors (738786956).

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

540334300 is a wasteful number, since it uses less digits than its factorization.

540334300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491238 (or 491231 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 22.

The square root of 540334300 is about 23245.0919550773. The cubic root of 540334300 is about 814.4932928707.

Adding to 540334300 its reverse (3433045), we get a palindrome (543767345).

The spelling of 540334300 in words is "five hundred forty million, three hundred thirty-four thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 491213 982426 1964852 2456065 4912130 5403343 9824260 10806686 12280325 21613372 24560650 27016715 49121300 54033430 108066860 135083575 270167150 540334300