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2344310144 = 27112236581
BaseRepresentation
bin1000101110111011…
…0101010110000000
320001101020021221122
42023232311112000
514300120411034
61024342411412
7112044210311
oct21356652600
96041207848
102344310144
11aa3335a00
12555130b68
132b48ba787
141834c4608
15dac2562e
hex8bbb5580

2344310144 has 96 divisors (see below), whose sum is σ = 5357484720. Its totient is φ = 1019110400.

The previous prime is 2344310123. The next prime is 2344310153. The reversal of 2344310144 is 4410134432.

It is a super-2 number, since 2×23443101442 = 10991580102522601472, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 352934 + ... + 359514.

Almost surely, 22344310144 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 2344310144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2678742360).

2344310144 is an abundant number, since it is smaller than the sum of its proper divisors (3013174576).

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

2344310144 is a wasteful number, since it uses less digits than its factorization.

2344310144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6640 (or 6617 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

The square root of 2344310144 is about 48418.0766243353. The cubic root of 2344310144 is about 1328.4290238175.

Adding to 2344310144 its reverse (4410134432), we get a palindrome (6754444576).

The spelling of 2344310144 in words is "two billion, three hundred forty-four million, three hundred ten thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 64 88 92 121 128 176 184 242 253 352 368 484 506 704 736 968 1012 1408 1472 1936 2024 2783 2944 3872 4048 5566 6581 7744 8096 11132 13162 15488 16192 22264 26324 32384 44528 52648 72391 89056 105296 144782 151363 178112 210592 289564 302726 356224 421184 579128 605452 796301 842368 1158256 1210904 1592602 1664993 2316512 2421808 3185204 3329986 4633024 4843616 6370408 6659972 9266048 9687232 12740816 13319944 18314923 19374464 25481632 26639888 36629846 50963264 53279776 73259692 101926528 106559552 146519384 213119104 293038768 586077536 1172155072 2344310144