Search a number
-
+
12344420 = 2251125101
BaseRepresentation
bin101111000101…
…110001100100
3212020011100202
4233011301210
511130010140
61120330032
7206632364
oct57056144
925204322
1012344420
116a71600
124173918
1327329ba
1418d49a4
15113c915
hexbc5c64

12344420 has 36 divisors (see below), whose sum is σ = 28499772. Its totient is φ = 4488000.

The previous prime is 12344419. The next prime is 12344429. The reversal of 12344420 is 2444321.

12344420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1308736 + 11035684 = 1144^2 + 3322^2 .

It is a Smith number, since the sum of its digits (20) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 12344392 and 12344401.

It is not an unprimeable number, because it can be changed into a prime (12344429) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 131 + ... + 4970.

Almost surely, 212344420 is an apocalyptic number.

12344420 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 12344420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14249886).

12344420 is an abundant number, since it is smaller than the sum of its proper divisors (16155352).

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

12344420 is a wasteful number, since it uses less digits than its factorization.

12344420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5132 (or 5119 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 12344420 is about 3513.4626794659. The cubic root of 12344420 is about 231.1125679628.

Adding to 12344420 its reverse (2444321), we get a palindrome (14788741).

Subtracting from 12344420 its reverse (2444321), we obtain a palindrome (9900099).

The spelling of 12344420 in words is "twelve million, three hundred forty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 1210 2420 5101 10202 20404 25505 51010 56111 102020 112222 224444 280555 561110 617221 1122220 1234442 2468884 3086105 6172210 12344420