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6541343440 = 245471739719
BaseRepresentation
bin1100001011110010…
…01111101011010000
3121212212200200021021
412011321033223100
5101344040442230
63001031405224
7321046334062
oct60571175320
917785620237
106541343440
112857466165
121326823814
13803298028
14460a87732
1528441ac7a
hex185e4fad0

6541343440 has 40 divisors (see below), whose sum is σ = 15532220160. Its totient is φ = 2560864896.

The previous prime is 6541343437. The next prime is 6541343441. The reversal of 6541343440 is 443431456.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 6541343396 and 6541343405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6541343441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 866100 + ... + 873619.

It is an arithmetic number, because the mean of its divisors is an integer number (388305504).

Almost surely, 26541343440 is an apocalyptic number.

It is an amenable number.

6541343440 is an abundant number, since it is smaller than the sum of its proper divisors (8990876720).

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

6541343440 is a wasteful number, since it uses less digits than its factorization.

6541343440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1739779 (or 1739773 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 34.

The square root of 6541343440 is about 80878.5721931341. The cubic root of 6541343440 is about 1870.2040098852.

Adding to 6541343440 its reverse (443431456), we get a palindrome (6984774896).

The spelling of 6541343440 in words is "six billion, five hundred forty-one million, three hundred forty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 47 80 94 188 235 376 470 752 940 1880 3760 1739719 3479438 6958876 8698595 13917752 17397190 27835504 34794380 69588760 81766793 139177520 163533586 327067172 408833965 654134344 817667930 1308268688 1635335860 3270671720 6541343440