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2343344010 = 235713980279
BaseRepresentation
bin1000101110101100…
…1001011110001010
320001022102012122220
42023223021132022
514244344002020
61024305554510
7112033044510
oct21353113612
96038365586
102343344010
11aa2836047
12554945a36
132b463cab7
141833124b0
15daad4240
hex8bac978a

2343344010 has 64 divisors (see below), whose sum is σ = 6473779200. Its totient is φ = 531761472.

The previous prime is 2343343999. The next prime is 2343344011. The reversal of 2343344010 is 104433432.

2343344010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×23433440102 = 10982522298405760200, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2343344011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10950 + ... + 69329.

It is an arithmetic number, because the mean of its divisors is an integer number (101152800).

Almost surely, 22343344010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2343344010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3236889600).

2343344010 is an abundant number, since it is smaller than the sum of its proper divisors (4130435190).

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

2343344010 is a wasteful number, since it uses less digits than its factorization.

2343344010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80435.

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 2343344010 is about 48408.0985993046. The cubic root of 2343344010 is about 1328.2465086043.

Adding to 2343344010 its reverse (104433432), we get a palindrome (2447777442).

The spelling of 2343344010 in words is "two billion, three hundred forty-three million, three hundred forty-four thousand, ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 139 210 278 417 695 834 973 1390 1946 2085 2919 4170 4865 5838 9730 14595 29190 80279 160558 240837 401395 481674 561953 802790 1123906 1204185 1685859 2408370 2809765 3371718 5619530 8429295 11158781 16858590 22317562 33476343 55793905 66952686 78111467 111587810 156222934 167381715 234334401 334763430 390557335 468668802 781114670 1171672005 2343344010