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4310434140 = 22352329374171
BaseRepresentation
bin1000000001110110…
…00000000101011100
3102010101211202000220
410000323000011130
532311432343030
61551415321340
7211550041245
oct40073000534
912111752026
104310434140
111912144a71
12a03680250
1353903385c
142cc681ccc
151a3645a10
hex100ec015c

4310434140 has 384 divisors, whose sum is σ = 13899755520. Its totient is φ = 993484800.

The previous prime is 4310434129. The next prime is 4310434147. The reversal of 4310434140 is 414340134.

It is a self number, because there is not a number n which added to its sum of digits gives 4310434140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4310434147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 60710305 + ... + 60710375.

It is an arithmetic number, because the mean of its divisors is an integer number (36197280).

Almost surely, 24310434140 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 4310434140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6949877760).

4310434140 is an abundant number, since it is smaller than the sum of its proper divisors (9589321380).

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

4310434140 is a wasteful number, since it uses less digits than its factorization.

4310434140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 4310434140 is about 65653.8966094169. The cubic root of 4310434140 is about 1627.4475640313.

Adding to 4310434140 its reverse (414340134), we get a palindrome (4724774274).

The spelling of 4310434140 in words is "four billion, three hundred ten million, four hundred thirty-four thousand, one hundred forty".