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2003442345 = 3251092331753
BaseRepresentation
bin111011101101010…
…0001101010101001
312011121211102020100
41313122201222221
513100340123340
6530444420013
7100434656532
oct16732415251
95147742210
102003442345
11938988983
1247ab47609
1325c0b1158
14150113689
15bad42830
hex776a1aa9

2003442345 has 48 divisors (see below), whose sum is σ = 3521540880. Its totient is φ = 1053554688.

The previous prime is 2003442341. The next prime is 2003442359. The reversal of 2003442345 is 5432443002.

2003442345 is a `hidden beast` number, since 200 + 34 + 423 + 4 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 358572096 + 1644870249 = 18936^2 + 40557^2 .

It is not a de Polignac number, because 2003442345 - 22 = 2003442341 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2003442341) 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 47 ways as a sum of consecutive naturals, for example, 1141989 + ... + 1143741.

It is an arithmetic number, because the mean of its divisors is an integer number (73365435).

Almost surely, 22003442345 is an apocalyptic number.

It is an amenable number.

2003442345 is a deficient number, since it is larger than the sum of its proper divisors (1518098535).

2003442345 is a wasteful number, since it uses less digits than its factorization.

2003442345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2106 (or 2103 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

The square root of 2003442345 is about 44759.8295908284. The cubic root of 2003442345 is about 1260.6434827305.

Adding to 2003442345 its reverse (5432443002), we get a palindrome (7435885347).

The spelling of 2003442345 in words is "two billion, three million, four hundred forty-two thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 45 109 233 327 545 699 981 1165 1635 1753 2097 3495 4905 5259 8765 10485 15777 25397 26295 76191 78885 126985 191077 228573 380955 408449 573231 955385 1142865 1225347 1719693 2042245 2866155 3676041 6126735 8598465 18380205 44520941 133562823 222604705 400688469 667814115 2003442345