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2421341000 = 235313199803
BaseRepresentation
bin1001000001010010…
…1011101101001000
320020202011212102022
42100110223231020
514424330403000
61040133424012
7114001026131
oct22024535510
96222155368
102421341000
111032869371
12576a9b008
132c784b570
1418d816c88
15e288e585
hex9052bb48

2421341000 has 128 divisors (see below), whose sum is σ = 6423580800. Its totient is φ = 846892800.

The previous prime is 2421340969. The next prime is 2421341017. The reversal of 2421341000 is 1431242.

It is a self number, because there is not a number n which added to its sum of digits gives 2421341000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 242099 + ... + 251901.

It is an arithmetic number, because the mean of its divisors is an integer number (50184225).

Almost surely, 22421341000 is an apocalyptic number.

2421341000 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 2421341000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3211790400).

2421341000 is an abundant number, since it is smaller than the sum of its proper divisors (4002239800).

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

2421341000 is a wasteful number, since it uses less digits than its factorization.

2421341000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9856 (or 9842 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 2421341000 is about 49207.1234680508. The cubic root of 2421341000 is about 1342.8226310948.

Adding to 2421341000 its reverse (1431242), we get a palindrome (2422772242).

The spelling of 2421341000 in words is "two billion, four hundred twenty-one million, three hundred forty-one thousand".

Divisors: 1 2 4 5 8 10 13 19 20 25 26 38 40 50 52 65 76 95 100 104 125 130 152 190 200 247 250 260 325 380 475 494 500 520 650 760 950 988 1000 1235 1300 1625 1900 1976 2375 2470 2600 3250 3800 4750 4940 6175 6500 9500 9803 9880 12350 13000 19000 19606 24700 30875 39212 49015 49400 61750 78424 98030 123500 127439 186257 196060 245075 247000 254878 372514 392120 490150 509756 637195 745028 931285 980300 1019512 1225375 1274390 1490056 1862570 1960600 2421341 2450750 2548780 3185975 3725140 4656425 4842682 4901500 5097560 6371950 7450280 9312850 9685364 9803000 12106705 12743900 15929875 18625700 19370728 23282125 24213410 25487800 31859750 37251400 46564250 48426820 60533525 63719500 93128500 96853640 121067050 127439000 186257000 242134100 302667625 484268200 605335250 1210670500 2421341000