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4424404320 = 2532573114159
BaseRepresentation
bin1000001111011011…
…10000110101100000
3102102100022000201200
410013231300311200
533030121414240
62011010201200
7214432546650
oct40755606540
912370260650
104424404320
1119705084a6
12a35883200
1355682902b
142dd86c360
151ad659930
hex107b70d60

4424404320 has 288 divisors, whose sum is σ = 17813053440. Its totient is φ = 978600960.

The previous prime is 4424404319. The next prime is 4424404321. The reversal of 4424404320 is 234044244.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4424404319) and next prime (4424404321).

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4424404321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 305401 + ... + 319559.

It is an arithmetic number, because the mean of its divisors is an integer number (61850880).

Almost surely, 24424404320 is an apocalyptic number.

4424404320 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 4424404320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8906526720).

4424404320 is an abundant number, since it is smaller than the sum of its proper divisors (13388649120).

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

4424404320 is a wasteful number, since it uses less digits than its factorization.

4424404320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14218 (or 14207 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

The square root of 4424404320 is about 66516.1959224970. The cubic root of 4424404320 is about 1641.6664995347. Note that the first 3 decimals are identical.

Adding to 4424404320 its reverse (234044244), we get a palindrome (4658448564).

The spelling of 4424404320 in words is "four billion, four hundred twenty-four million, four hundred four thousand, three hundred twenty".