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2345289728 = 2111975813
BaseRepresentation
bin1000101111001010…
…0100100000000000
320001110002001200112
42023302210200000
514300343232403
61024415410452
7112055430245
oct21362444000
96043061615
102345289728
11aa3944981
12555523a28
132b4b71602
1418369b5cc
15dad6a9d8
hex8bca4800

2345289728 has 48 divisors (see below), whose sum is σ = 4714049340. Its totient is φ = 1166491648.

The previous prime is 2345289701. The next prime is 2345289731. The reversal of 2345289728 is 8279825432.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1952932864 + 392356864 = 44192^2 + 19808^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 400550 + ... + 406362.

Almost surely, 22345289728 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 2345289728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2357024670).

2345289728 is an abundant number, since it is smaller than the sum of its proper divisors (2368759612).

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

2345289728 is an equidigital number, since it uses as much as digits as its factorization.

2345289728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6032 (or 6012 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 50.

The square root of 2345289728 is about 48428.1914591078. The cubic root of 2345289728 is about 1328.6140287195.

The spelling of 2345289728 in words is "two billion, three hundred forty-five million, two hundred eighty-nine thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 16 32 64 128 197 256 394 512 788 1024 1576 2048 3152 5813 6304 11626 12608 23252 25216 46504 50432 93008 100864 186016 201728 372032 403456 744064 1145161 1488128 2290322 2976256 4580644 5952512 9161288 11905024 18322576 36645152 73290304 146580608 293161216 586322432 1172644864 2345289728