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12341000 = 235374143
BaseRepresentation
bin101111000100…
…111100001000
3212012222200002
4233010330020
511124403000
61120302132
7206616410
oct57047410
925188602
1012341000
116a69a81
124171948
132731289
1418d3640
15113b8d5
hexbc4f08

12341000 has 128 divisors (see below), whose sum is σ = 34594560. Its totient is φ = 4032000.

The previous prime is 12340981. The next prime is 12341009. The reversal of 12341000 is 14321.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (12341009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 286979 + ... + 287021.

It is an arithmetic number, because the mean of its divisors is an integer number (270270).

Almost surely, 212341000 is an apocalyptic number.

12341000 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 12341000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17297280).

12341000 is an abundant number, since it is smaller than the sum of its proper divisors (22253560).

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

12341000 is a wasteful number, since it uses less digits than its factorization.

12341000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 12341000 is about 3512.9759464021. The cubic root of 12341000 is about 231.0912228804.

Adding to 12341000 its reverse (14321), we get a palindrome (12355321).

The spelling of 12341000 in words is "twelve million, three hundred forty-one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 41 43 50 56 70 82 86 100 125 140 164 172 175 200 205 215 250 280 287 301 328 344 350 410 430 500 574 602 700 820 860 875 1000 1025 1075 1148 1204 1400 1435 1505 1640 1720 1750 1763 2050 2150 2296 2408 2870 3010 3500 3526 4100 4300 5125 5375 5740 6020 7000 7052 7175 7525 8200 8600 8815 10250 10750 11480 12040 12341 14104 14350 15050 17630 20500 21500 24682 28700 30100 35260 35875 37625 41000 43000 44075 49364 57400 60200 61705 70520 71750 75250 88150 98728 123410 143500 150500 176300 220375 246820 287000 301000 308525 352600 440750 493640 617050 881500 1234100 1542625 1763000 2468200 3085250 6170500 12341000