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344411144 = 237111813089
BaseRepresentation
bin10100100001110…
…100110000001000
3220000001220021022
4110201310300020
51201132124034
654101532012
711351306060
oct2441646010
9800056238
10344411144
11167458210
1297414008
135647a39c
1433a543a0
1520382b2e
hex14874c08

344411144 has 64 divisors (see below), whose sum is σ = 809827200. Its totient is φ = 133401600.

The previous prime is 344411141. The next prime is 344411167. The reversal of 344411144 is 441114443.

It is a super-2 number, since 2×3444111442 = 237238072222777472, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (344411141) 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, 109952 + ... + 113040.

It is an arithmetic number, because the mean of its divisors is an integer number (12653550).

Almost surely, 2344411144 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 344411144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404913600).

344411144 is an abundant number, since it is smaller than the sum of its proper divisors (465416056).

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

344411144 is a wasteful number, since it uses less digits than its factorization.

344411144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3294 (or 3290 counting only the distinct ones).

The product of its digits is 3072, while the sum is 26.

The square root of 344411144 is about 18558.3173806248. The cubic root of 344411144 is about 700.9586484385.

Adding to 344411144 its reverse (441114443), we get a palindrome (785525587).

The spelling of 344411144 in words is "three hundred forty-four million, four hundred eleven thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 181 308 362 616 724 1267 1448 1991 2534 3089 3982 5068 6178 7964 10136 12356 13937 15928 21623 24712 27874 33979 43246 55748 67958 86492 111496 135916 172984 237853 271832 475706 559109 951412 1118218 1902824 2236436 3913763 4472872 6150199 7827526 12300398 15655052 24600796 31310104 43051393 49201592 86102786 172205572 344411144