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12330468 = 2234192003
BaseRepresentation
bin101111000010…
…010111100100
3212012110020000
4233002113210
511124033333
61120141300
7206543613
oct57022744
925173200
1012330468
116a62077
124167830
132729547
1418cd87a
151138713
hexbc25e4

12330468 has 60 divisors (see below), whose sum is σ = 33947760. Its totient is φ = 3891888.

The previous prime is 12330443. The next prime is 12330473. The reversal of 12330468 is 86403321.

It is a happy number.

12330468 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5155 + ... + 7157.

It is an arithmetic number, because the mean of its divisors is an integer number (565796).

Almost surely, 212330468 is an apocalyptic number.

12330468 is a gapful number since it is divisible by the number (18) 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 12330468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16973880).

12330468 is an abundant number, since it is smaller than the sum of its proper divisors (21617292).

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

12330468 is a wasteful number, since it uses less digits than its factorization.

12330468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2038 (or 2027 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 12330468 is about 3511.4766124809. The cubic root of 12330468 is about 231.0254652311.

Adding to 12330468 its reverse (86403321), we get a palindrome (98733789).

The spelling of 12330468 in words is "twelve million, three hundred thirty thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 81 108 114 162 171 228 324 342 513 684 1026 1539 2003 2052 3078 4006 6009 6156 8012 12018 18027 24036 36054 38057 54081 72108 76114 108162 114171 152228 162243 216324 228342 324486 342513 456684 648972 685026 1027539 1370052 2055078 3082617 4110156 6165234 12330468