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344345144 = 231113232569
BaseRepresentation
bin10100100001100…
…100101000111000
3212222221112201212
4110201210220320
51201123021034
654100302252
711350612463
oct2441445070
9788845655
10344345144
11167412670
12973a1988
1356456330
1433a382da
152036d2ce
hex14864a38

344345144 has 96 divisors (see below), whose sum is σ = 794329200. Its totient is φ = 137955840.

The previous prime is 344345129. The next prime is 344345203. The reversal of 344345144 is 441543443.

It is a self number, because there is not a number n which added to its sum of digits gives 344345144.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 604892 + ... + 605460.

Almost surely, 2344345144 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 344345144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397164600).

344345144 is an abundant number, since it is smaller than the sum of its proper divisors (449984056).

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

344345144 is a wasteful number, since it uses less digits than its factorization.

344345144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645 (or 618 counting only the distinct ones).

The product of its digits is 46080, while the sum is 32.

The square root of 344345144 is about 18556.5391169798. The cubic root of 344345144 is about 700.9138703421.

Adding to 344345144 its reverse (441543443), we get a palindrome (785888587).

The spelling of 344345144 in words is "three hundred forty-four million, three hundred forty-five thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 13 22 23 26 44 46 52 88 92 104 143 184 253 286 299 506 529 569 572 598 1012 1058 1138 1144 1196 2024 2116 2276 2392 3289 4232 4552 5819 6259 6578 6877 7397 11638 12518 13087 13156 13754 14794 23276 25036 26174 26312 27508 29588 46552 50072 52348 55016 59176 75647 81367 104696 143957 151294 162734 170131 287914 301001 302588 325468 340262 575828 602002 605176 650936 680524 1151656 1204004 1361048 1871441 2408008 3311011 3742882 3913013 6622022 7485764 7826026 13244044 14971528 15652052 26488088 31304104 43043143 86086286 172172572 344345144