Search a number
-
+
4434300000 = 25325513379
BaseRepresentation
bin1000010000100111…
…00000110001100000
3102110000220210001100
410020103200301200
533040140100000
62012002234400
7214612633224
oct41023406140
912400823040
104434300000
111976057249
12a39055a00
135588b2270
14300cc6784
151ae461a00
hex1084e0c60

4434300000 has 432 divisors, whose sum is σ = 17018754480. Its totient is φ = 1088640000.

The previous prime is 4434299977. The next prime is 4434300049. The reversal of 4434300000 is 34344.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11699811 + ... + 11700189.

It is an arithmetic number, because the mean of its divisors is an integer number (39395265).

Almost surely, 24434300000 is an apocalyptic number.

4434300000 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 4434300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8509377240).

4434300000 is an abundant number, since it is smaller than the sum of its proper divisors (12584454480).

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

4434300000 is a wasteful number, since it uses less digits than its factorization.

4434300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 4434300000 is about 66590.5398686630. The cubic root of 4434300000 is about 1642.8895123697.

Adding to 4434300000 its reverse (34344), we get a palindrome (4434334344).

The spelling of 4434300000 in words is "four billion, four hundred thirty-four million, three hundred thousand".