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344412224 = 26131034019
BaseRepresentation
bin10100100001110…
…101000001000000
3220000001221202022
4110201311001000
51201132142344
654101541012
711351312162
oct2441650100
9800057668
10344412224
11167459002
1297414768
135647aa20
1433a54932
15203830ee
hex14875040

344412224 has 56 divisors (see below), whose sum is σ = 743346240. Its totient is φ = 157377024.

The previous prime is 344412223. The next prime is 344412239. The reversal of 344412224 is 422214443.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 344412193 and 344412202.

It is not an unprimeable number, because it can be changed into a prime (344412223) 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, 83687 + ... + 87705.

It is an arithmetic number, because the mean of its divisors is an integer number (13274040).

Almost surely, 2344412224 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 344412224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371673120).

344412224 is an abundant number, since it is smaller than the sum of its proper divisors (398934016).

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

344412224 is a wasteful number, since it uses less digits than its factorization.

344412224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4147 (or 4137 counting only the distinct ones).

The product of its digits is 6144, while the sum is 26.

The square root of 344412224 is about 18558.3464780675. The cubic root of 344412224 is about 700.9593811235.

Adding to 344412224 its reverse (422214443), we get a palindrome (766626667).

The spelling of 344412224 in words is "three hundred forty-four million, four hundred twelve thousand, two hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 103 104 206 208 412 416 824 832 1339 1648 2678 3296 4019 5356 6592 8038 10712 16076 21424 32152 42848 52247 64304 85696 104494 128608 208988 257216 413957 417976 827914 835952 1655828 1671904 3311656 3343808 5381441 6623312 10762882 13246624 21525764 26493248 43051528 86103056 172206112 344412224