Search a number
-
+
6344412 = 22323127181
BaseRepresentation
bin11000001100111011011100
3102221022220020
4120030323130
53111010122
6343552140
7104632554
oct30147334
912838806
106344412
113643718
12215b650
1314119b9
14bb2164
15854c5c
hex60cedc

6344412 has 48 divisors (see below), whose sum is σ = 15654912. Its totient is φ = 1995840.

The previous prime is 6344407. The next prime is 6344413. The reversal of 6344412 is 2144436.

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

It is a d-powerful number, because it can be written as 66 + 37 + 42 + 46 + 411 + 1 + 221 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6344413) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34962 + ... + 35142.

It is an arithmetic number, because the mean of its divisors is an integer number (326144).

Almost surely, 26344412 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 6344412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7827456).

6344412 is an abundant number, since it is smaller than the sum of its proper divisors (9310500).

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

6344412 is a wasteful number, since it uses less digits than its factorization.

6344412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 336 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 6344412 is about 2518.8116245563. The cubic root of 6344412 is about 185.1244548495.

Adding to 6344412 its sum of digits (24), we get a palindrome (6344436).

Adding to 6344412 its reverse (2144436), we get a palindrome (8488848).

The spelling of 6344412 in words is "six million, three hundred forty-four thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 23 46 69 92 127 138 181 254 276 362 381 508 543 724 762 1086 1524 2172 2921 4163 5842 8326 8763 11684 12489 16652 17526 22987 24978 35052 45974 49956 68961 91948 137922 275844 528701 1057402 1586103 2114804 3172206 6344412