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2005831341 = 32616475647
BaseRepresentation
bin111011110001110…
…1000111010101101
312011210022210022200
41313203220322231
513101443100331
6531011532113
7100464166533
oct16743507255
95153283280
102005831341
1193a26a858
1247b8ba039
1325c739667
14150576153
15bb1655e6
hex778e8ead

2005831341 has 24 divisors (see below), whose sum is σ = 2949882624. Its totient is φ = 1313033760.

The previous prime is 2005831339. The next prime is 2005831351. The reversal of 2005831341 is 1431385002.

It is a happy number.

It is not a de Polignac number, because 2005831341 - 21 = 2005831339 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005831351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 352380 + ... + 358026.

It is an arithmetic number, because the mean of its divisors is an integer number (122911776).

Almost surely, 22005831341 is an apocalyptic number.

It is an amenable number.

2005831341 is a deficient number, since it is larger than the sum of its proper divisors (944051283).

2005831341 is a wasteful number, since it uses less digits than its factorization.

2005831341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6361 (or 6358 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 2005831341 is about 44786.5084707437. The cubic root of 2005831341 is about 1261.1443666138.

The spelling of 2005831341 in words is "two billion, five million, eight hundred thirty-one thousand, three hundred forty-one".

Divisors: 1 3 9 61 183 549 647 1941 5647 5823 16941 39467 50823 118401 344467 355203 1033401 3100203 3653609 10960827 32882481 222870149 668610447 2005831341