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2343410144 = 25195965327
BaseRepresentation
bin1000101110101101…
…1001100111100000
320001022112120101022
42023223121213200
514244403111034
61024311225012
7112033441355
oct21353314740
96038476338
102343410144
11aa28807a9
12554978168
132b4663c2a
1418332c62c
15daae8b2e
hex8bad99e0

2343410144 has 48 divisors (see below), whose sum is σ = 4938796800. Its totient is φ = 1091205504.

The previous prime is 2343410141. The next prime is 2343410161. The reversal of 2343410144 is 4410143432.

2343410144 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 2×23434101442 = 10983142206004201472, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2343410141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3209 + ... + 68535.

It is an arithmetic number, because the mean of its divisors is an integer number (102891600).

Almost surely, 22343410144 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 2343410144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2469398400).

2343410144 is an abundant number, since it is smaller than the sum of its proper divisors (2595386656).

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

2343410144 is a wasteful number, since it uses less digits than its factorization.

2343410144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65415 (or 65407 counting only the distinct ones).

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

The square root of 2343410144 is about 48408.7816826658. The cubic root of 2343410144 is about 1328.2590037719.

Adding to 2343410144 its reverse (4410143432), we get a palindrome (6753553576).

The spelling of 2343410144 in words is "two billion, three hundred forty-three million, four hundred ten thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 19 32 38 59 76 118 152 236 304 472 608 944 1121 1888 2242 4484 8968 17936 35872 65327 130654 261308 522616 1045232 1241213 2090464 2482426 3854293 4964852 7708586 9929704 15417172 19859408 30834344 39718816 61668688 73231567 123337376 146463134 292926268 585852536 1171705072 2343410144