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12341820 = 22352941173
BaseRepresentation
bin101111000101…
…001000111100
3212020000210110
4233011020330
511124414240
61120310020
7206621661
oct57051074
925200713
1012341820
116a6a657
124172310
13273176a
1418d3a68
15113bc80
hexbc523c

12341820 has 96 divisors (see below), whose sum is σ = 36832320. Its totient is φ = 3082240.

The previous prime is 12341809. The next prime is 12341837. The reversal of 12341820 is 2814321.

12341820 = 3782 + 3792 + ... + 4492.

12341820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71254 + ... + 71426.

It is an arithmetic number, because the mean of its divisors is an integer number (383670).

Almost surely, 212341820 is an apocalyptic number.

12341820 is a gapful number since it is divisible by the number (10) 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 12341820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18416160).

12341820 is an abundant number, since it is smaller than the sum of its proper divisors (24490500).

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

12341820 is a wasteful number, since it uses less digits than its factorization.

12341820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 12341820 is about 3513.0926546278. The cubic root of 12341820 is about 231.0963410665.

The spelling of 12341820 in words is "twelve million, three hundred forty-one thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 41 58 60 82 87 116 123 145 164 173 174 205 246 290 346 348 410 435 492 519 580 615 692 820 865 870 1038 1189 1230 1730 1740 2076 2378 2460 2595 3460 3567 4756 5017 5190 5945 7093 7134 10034 10380 11890 14186 14268 15051 17835 20068 21279 23780 25085 28372 30102 35465 35670 42558 50170 60204 70930 71340 75255 85116 100340 106395 141860 150510 205697 212790 301020 411394 425580 617091 822788 1028485 1234182 2056970 2468364 3085455 4113940 6170910 12341820