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4300342304 = 251724132801
BaseRepresentation
bin1000000000101001…
…00000010000100000
3102002200212000122012
410000110200100200
532301341423204
61550415132052
7211365210056
oct40024402040
912080760565
104300342304
111907481905
12a00214028
13536c0c25b
142cb1b61d6
151a280076e
hex100520420

4300342304 has 48 divisors (see below), whose sum is σ = 9001787256. Its totient is φ = 2015232000.

The previous prime is 4300342303. The next prime is 4300342307. The reversal of 4300342304 is 4032430034.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3912252304 + 388090000 = 62548^2 + 19700^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4300342304.

It is not an unprimeable number, because it can be changed into a prime (4300342303) 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, 114704 + ... + 147504.

Almost surely, 24300342304 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 4300342304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4500893628).

4300342304 is an abundant number, since it is smaller than the sum of its proper divisors (4701444952).

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

4300342304 is a wasteful number, since it uses less digits than its factorization.

4300342304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33069 (or 33061 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 23.

The square root of 4300342304 is about 65576.9952346095. The cubic root of 4300342304 is about 1626.1764802973.

Adding to 4300342304 its reverse (4032430034), we get a palindrome (8332772338).

The spelling of 4300342304 in words is "four billion, three hundred million, three hundred forty-two thousand, three hundred four".

Divisors: 1 2 4 8 16 17 32 34 68 136 241 272 482 544 964 1928 3856 4097 7712 8194 16388 32776 32801 65552 65602 131104 131204 262408 524816 557617 1049632 1115234 2230468 4460936 7905041 8921872 15810082 17843744 31620164 63240328 126480656 134385697 252961312 268771394 537542788 1075085576 2150171152 4300342304