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4005240324 = 2231720399629
BaseRepresentation
bin1110111010111011…
…0001111000000100
3101100010120021211020
43232232301320010
531200320142244
61501234111140
7201152660331
oct35656617004
911303507736
104005240324
111775943378
1293941b4b0
134baa379b7
1429dd19988
1518695cd19
hexeebb1e04

4005240324 has 48 divisors (see below), whose sum is σ = 9901180800. Its totient is φ = 1255799296.

The previous prime is 4005240277. The next prime is 4005240353. The reversal of 4005240324 is 4230425004.

It is a junction number, because it is equal to n+sod(n) for n = 4005240294 and 4005240303.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 411142 + ... + 420770.

It is an arithmetic number, because the mean of its divisors is an integer number (206274600).

Almost surely, 24005240324 is an apocalyptic number.

It is an amenable number.

4005240324 is an abundant number, since it is smaller than the sum of its proper divisors (5895940476).

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

4005240324 is a wasteful number, since it uses less digits than its factorization.

4005240324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11692 (or 11690 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 4005240324 is about 63286.9680424019. The cubic root of 4005240324 is about 1588.0939574547.

Adding to 4005240324 its reverse (4230425004), we get a palindrome (8235665328).

The spelling of 4005240324 in words is "four billion, five million, two hundred forty thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 2039 4078 6117 8156 9629 12234 19258 24468 28887 34663 38516 57774 69326 103989 115548 138652 163693 207978 327386 415956 491079 654772 982158 1964316 19633531 39267062 58900593 78534124 117801186 235602372 333770027 667540054 1001310081 1335080108 2002620162 4005240324