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2005044324 = 22310110715461
BaseRepresentation
bin111011110000010…
…1000110001100100
312011201211210201220
41313200220301210
513101242404244
6530543020340
7100454411163
oct16740506144
95151753656
102005044324
11939882528
1247b59a6b0
1325c52237a
1415040d3da
15bb05c319
hex77828c64

2005044324 has 48 divisors (see below), whose sum is σ = 4769222976. Its totient is φ = 655504000.

The previous prime is 2005044287. The next prime is 2005044367. The reversal of 2005044324 is 4234405002.

It is a junction number, because it is equal to n+sod(n) for n = 2005044294 and 2005044303.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121954 + ... + 137414.

It is an arithmetic number, because the mean of its divisors is an integer number (99358812).

Almost surely, 22005044324 is an apocalyptic number.

It is an amenable number.

2005044324 is an abundant number, since it is smaller than the sum of its proper divisors (2764178652).

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

2005044324 is a wasteful number, since it uses less digits than its factorization.

2005044324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15676 (or 15674 counting only the distinct ones).

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

The square root of 2005044324 is about 44777.7212908384. The cubic root of 2005044324 is about 1260.9794022792.

Adding to 2005044324 its reverse (4234405002), we get a palindrome (6239449326).

The spelling of 2005044324 in words is "two billion, five million, forty-four thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 12 101 107 202 214 303 321 404 428 606 642 1212 1284 10807 15461 21614 30922 32421 43228 46383 61844 64842 92766 129684 185532 1561561 1654327 3123122 3308654 4684683 4962981 6246244 6617308 9369366 9925962 18738732 19851924 167087027 334174054 501261081 668348108 1002522162 2005044324