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2344066120 = 2351110749789
BaseRepresentation
bin1000101110110111…
…1001110001001000
320001100202220012201
42023231321301020
514300040103440
61024333245544
7112042143004
oct21355716110
96040686181
102344066120
11aa3189630
125550338b4
132b4833696
1418345d704
15dabc819a
hex8bb79c48

2344066120 has 64 divisors (see below), whose sum is σ = 5807505600. Its totient is φ = 844404480.

The previous prime is 2344066103. The next prime is 2344066129. The reversal of 2344066120 is 216604432.

2344066120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2344066129) 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, 22186 + ... + 71974.

It is an arithmetic number, because the mean of its divisors is an integer number (90742275).

Almost surely, 22344066120 is an apocalyptic number.

2344066120 is a gapful number since it is divisible by the number (20) 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 2344066120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2903752800).

2344066120 is an abundant number, since it is smaller than the sum of its proper divisors (3463439480).

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

2344066120 is a wasteful number, since it uses less digits than its factorization.

2344066120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49918 (or 49914 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 2344066120 is about 48415.5565908314. The cubic root of 2344066120 is about 1328.3829292605.

The spelling of 2344066120 in words is "two billion, three hundred forty-four million, sixty-six thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 107 110 214 220 428 440 535 856 1070 1177 2140 2354 4280 4708 5885 9416 11770 23540 47080 49789 99578 199156 248945 398312 497890 547679 995780 1095358 1991560 2190716 2738395 4381432 5327423 5476790 10654846 10953580 21309692 21907160 26637115 42619384 53274230 58601653 106548460 117203306 213096920 234406612 293008265 468813224 586016530 1172033060 2344066120