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12234000 = 243532039
BaseRepresentation
bin101110101010…
…110100010000
3212000112220010
4232222310100
511112442000
61114114520
7205662432
oct56526420
925015803
1012234000
1169a6649
12411ba40
1326c466c
1418a6652
151119d50
hexbaad10

12234000 has 80 divisors (see below), whose sum is σ = 39461760. Its totient is φ = 3260800.

The previous prime is 12233993. The next prime is 12234011. The reversal of 12234000 is 43221.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 4981 + ... + 7019.

It is an arithmetic number, because the mean of its divisors is an integer number (493272).

Almost surely, 212234000 is an apocalyptic number.

12234000 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 12234000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19730880).

12234000 is an abundant number, since it is smaller than the sum of its proper divisors (27227760).

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

12234000 is a wasteful number, since it uses less digits than its factorization.

12234000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2065 (or 2049 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 12234000 is about 3497.7135388708. The cubic root of 12234000 is about 230.4214076366.

Adding to 12234000 its reverse (43221), we get a palindrome (12277221).

The spelling of 12234000 in words is "twelve million, two hundred thirty-four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 2039 3000 4078 6000 6117 8156 10195 12234 16312 20390 24468 30585 32624 40780 48936 50975 61170 81560 97872 101950 122340 152925 163120 203900 244680 254875 305850 407800 489360 509750 611700 764625 815600 1019500 1223400 1529250 2039000 2446800 3058500 4078000 6117000 12234000