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2004343000 = 235311257709
BaseRepresentation
bin111011101110111…
…1101100011011000
312011200112011200221
41313131331203120
513101102434000
6530520005424
7100445430412
oct16735754330
95150464627
102004343000
11939443620
1247b300874
1325c33809a
141502a99b2
15bae6e61a
hex7777d8d8

2004343000 has 128 divisors (see below), whose sum is σ = 5143694400. Its totient is φ = 724992000.

The previous prime is 2004342983. The next prime is 2004343007. The reversal of 2004343000 is 3434002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2004343007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2826646 + ... + 2827354.

Almost surely, 22004343000 is an apocalyptic number.

2004343000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2004343000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2571847200).

2004343000 is an abundant number, since it is smaller than the sum of its proper divisors (3139351400).

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

2004343000 is a wasteful number, since it uses less digits than its factorization.

2004343000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 998 (or 984 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 2004343000 is about 44769.8894347529. The cubic root of 2004343000 is about 1260.8323634270.

Adding to 2004343000 its reverse (3434002), we get a palindrome (2007777002).

The spelling of 2004343000 in words is "two billion, four million, three hundred forty-three thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 257 275 440 500 514 550 709 1000 1028 1100 1285 1375 1418 2056 2200 2570 2750 2827 2836 3545 5140 5500 5654 5672 6425 7090 7799 10280 11000 11308 12850 14135 14180 15598 17725 22616 25700 28270 28360 31196 32125 35450 38995 51400 56540 62392 64250 70675 70900 77990 88625 113080 128500 141350 141800 155980 177250 182213 194975 257000 282700 311960 353375 354500 364426 389950 565400 706750 709000 728852 779900 911065 974875 1413500 1457704 1559800 1822130 1949750 2004343 2827000 3644260 3899500 4008686 4555325 7288520 7799000 8017372 9110650 10021715 16034744 18221300 20043430 22776625 36442600 40086860 45553250 50108575 80173720 91106500 100217150 182213000 200434300 250542875 400868600 501085750 1002171500 2004343000