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12334140 = 22335713251
BaseRepresentation
bin101111000011…
…010000111100
3212012122021000
4233003100330
511124143030
61120210300
7206560410
oct57032074
925178230
1012334140
116a64905
124169990
13272b110
1418d0d40
151139860
hexbc343c

12334140 has 192 divisors, whose sum is σ = 47416320. Its totient is φ = 2592000.

The previous prime is 12334123. The next prime is 12334151. The reversal of 12334140 is 4143321.

12334140 is digitally balanced in base 2, because in such base 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 (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49015 + ... + 49265.

It is an arithmetic number, because the mean of its divisors is an integer number (246960).

Almost surely, 212334140 is an apocalyptic number.

12334140 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 12334140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23708160).

12334140 is an abundant number, since it is smaller than the sum of its proper divisors (35082180).

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

12334140 is a wasteful number, since it uses less digits than its factorization.

12334140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 12334140 is about 3511.9994305239. Note that the first 3 decimals coincide. The cubic root of 12334140 is about 231.0483959993.

Adding to 12334140 its reverse (4143321), we get a palindrome (16477461).

The spelling of 12334140 in words is "twelve million, three hundred thirty-four thousand, one hundred forty".