Search a number
-
+
12343128 = 233773471
BaseRepresentation
bin101111000101…
…011101011000
3212020002120220
4233011131120
511124440003
61120320040
7206625540
oct57053530
925202526
1012343128
116a70636
124173020
132732235
1418d4320
15113c353
hexbc5758

12343128 has 32 divisors (see below), whose sum is σ = 35266560. Its totient is φ = 3526560.

The previous prime is 12343099. The next prime is 12343129. The reversal of 12343128 is 82134321.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 12343098 and 12343107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12343129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36568 + ... + 36903.

It is an arithmetic number, because the mean of its divisors is an integer number (1102080).

Almost surely, 212343128 is an apocalyptic number.

It is an amenable number.

12343128 is an abundant number, since it is smaller than the sum of its proper divisors (22923432).

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

12343128 is a wasteful number, since it uses less digits than its factorization.

12343128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73487 (or 73483 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 12343128 is about 3513.2788104561. The cubic root of 12343128 is about 231.1045047284.

Adding to 12343128 its reverse (82134321), we get a palindrome (94477449).

The spelling of 12343128 in words is "twelve million, three hundred forty-three thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 73471 146942 220413 293884 440826 514297 587768 881652 1028594 1542891 1763304 2057188 3085782 4114376 6171564 12343128