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2005300341 = 33116751853
BaseRepresentation
bin111011110000110…
…0111010001110101
312011202022210221000
41313201213101311
513101324102331
6530552313513
7100456525452
oct16741472165
95152283830
102005300341
11939a37910
1247b6a2899
1325c5b1a65
14150478829
15bb0ad0e6
hex77867475

2005300341 has 16 divisors (see below), whose sum is σ = 3240889920. Its totient is φ = 1215333360.

The previous prime is 2005300307. The next prime is 2005300343. The reversal of 2005300341 is 1430035002.

2005300341 is a `hidden beast` number, since 20 + 0 + 5 + 300 + 341 = 666.

It is not a de Polignac number, because 2005300341 - 215 = 2005267573 is a prime.

It is a super-2 number, since 2×20053003412 = 8042458915229432562, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005300343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3375630 + ... + 3376223.

It is an arithmetic number, because the mean of its divisors is an integer number (202555620).

Almost surely, 22005300341 is an apocalyptic number.

It is an amenable number.

2005300341 is a deficient number, since it is larger than the sum of its proper divisors (1235589579).

2005300341 is a wasteful number, since it uses less digits than its factorization.

2005300341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6751873 (or 6751867 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 2005300341 is about 44780.5799538148. The cubic root of 2005300341 is about 1261.0330699913.

Adding to 2005300341 its reverse (1430035002), we get a palindrome (3435335343).

The spelling of 2005300341 in words is "two billion, five million, three hundred thousand, three hundred forty-one".

Divisors: 1 3 9 11 27 33 99 297 6751853 20255559 60766677 74270383 182300031 222811149 668433447 2005300341