Search a number
-
+
23412312 = 233271141103
BaseRepresentation
bin101100101001…
…1111001011000
31122001110122200
41121103321120
521443143222
62153450200
7403000320
oct131237130
948043580
1023412312
1112241020
127a10960
134b09651
143176280
1520c6eac
hex1653e58

23412312 has 192 divisors, whose sum is σ = 81768960. Its totient is φ = 5875200.

The previous prime is 23412299. The next prime is 23412329. The reversal of 23412312 is 21321432.

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 227253 + ... + 227355.

It is an arithmetic number, because the mean of its divisors is an integer number (425880).

Almost surely, 223412312 is an apocalyptic number.

23412312 is a gapful number since it is divisible by the number (22) 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 23412312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40884480).

23412312 is an abundant number, since it is smaller than the sum of its proper divisors (58356648).

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

23412312 is a wasteful number, since it uses less digits than its factorization.

23412312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 167 counting only the distinct ones).

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

The square root of 23412312 is about 4838.6270780047. The cubic root of 23412312 is about 286.0760063366.

Adding to 23412312 its reverse (21321432), we get a palindrome (44733744).

The spelling of 23412312 in words is "twenty-three million, four hundred twelve thousand, three hundred twelve".