Search a number
-
+
112344 = 23331151
BaseRepresentation
bin11011011011011000
312201002220
4123123120
512043334
62224040
7645351
oct333330
9181086
10112344
1177451
1255020
133c19b
142cd28
1523449
hex1b6d8

112344 has 32 divisors (see below), whose sum is σ = 291840. Its totient is φ = 36000.

The previous prime is 112339. The next prime is 112349. The reversal of 112344 is 443211.

It is an interprime number because it is at equal distance from previous prime (112339) and next prime (112349).

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

It is a plaindrome in base 10 and base 15.

It is a nialpdrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112349) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 669 + ... + 819.

It is an arithmetic number, because the mean of its divisors is an integer number (9120).

2112344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145920).

112344 is an abundant number, since it is smaller than the sum of its proper divisors (179496).

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

112344 is a wasteful number, since it uses less digits than its factorization.

112344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 187 counting only the distinct ones).

The product of its digits is 96, while the sum is 15.

The square root of 112344 is about 335.1775648817. The cubic root of 112344 is about 48.2521453761.

Adding to 112344 its reverse (443211), we get a palindrome (555555).

The spelling of 112344 in words is "one hundred twelve thousand, three hundred forty-four", and thus it is an iban number.

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 151 186 248 302 372 453 604 744 906 1208 1812 3624 4681 9362 14043 18724 28086 37448 56172 112344