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4323042400 = 255210153503
BaseRepresentation
bin1000000011010110…
…00110010001100000
3102011021120022022111
410001223012101200
532323144324100
61552545445104
7212062153105
oct40153062140
912137508274
104323042400
111919276816
12a07940794
1353b829671
142d0204aac
151a47d66ba
hex101ac6460

4323042400 has 72 divisors (see below), whose sum is σ = 10658317824. Its totient is φ = 1712064000.

The previous prime is 4323042389. The next prime is 4323042413. The reversal of 4323042400 is 42403234.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 54049 + ... + 107551.

It is an arithmetic number, because the mean of its divisors is an integer number (148032192).

Almost surely, 24323042400 is an apocalyptic number.

4323042400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4323042400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5329158912).

4323042400 is an abundant number, since it is smaller than the sum of its proper divisors (6335275424).

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

4323042400 is a wasteful number, since it uses less digits than its factorization.

4323042400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53624 (or 53611 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 4323042400 is about 65749.8471481113. The cubic root of 4323042400 is about 1629.0328109867.

Adding to 4323042400 its reverse (42403234), we get a palindrome (4365445634).

The spelling of 4323042400 in words is "four billion, three hundred twenty-three million, forty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 101 160 200 202 400 404 505 800 808 1010 1616 2020 2525 3232 4040 5050 8080 10100 16160 20200 40400 53503 80800 107006 214012 267515 428024 535030 856048 1070060 1337575 1712096 2140120 2675150 4280240 5350300 5403803 8560480 10700600 10807606 21401200 21615212 27019015 42802400 43230424 54038030 86460848 108076060 135095075 172921696 216152120 270190150 432304240 540380300 864608480 1080760600 2161521200 4323042400