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4330341444 = 223111341611009
BaseRepresentation
bin1000000100001101…
…11100010001000100
3102011210022010201110
410002012330101010
532332031411234
61553410125020
7212211203112
oct40206742104
912153263643
104330341444
111922401690
12a0a280770
135401b3a20
142d1184ab2
151a52791e9
hex1021bc444

4330341444 has 192 divisors, whose sum is σ = 12371708160. Its totient is φ = 1161216000.

The previous prime is 4330341443. The next prime is 4330341469. The reversal of 4330341444 is 4441430334.

It is not an unprimeable number, because it can be changed into a prime (4330341443) 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 63 ways as a sum of consecutive naturals, for example, 4291212 + ... + 4292220.

It is an arithmetic number, because the mean of its divisors is an integer number (64435980).

Almost surely, 24330341444 is an apocalyptic number.

4330341444 is a gapful number since it is divisible by the number (44) 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 4330341444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6185854080).

4330341444 is an abundant number, since it is smaller than the sum of its proper divisors (8041366716).

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

4330341444 is a wasteful number, since it uses less digits than its factorization.

4330341444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1142 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

The square root of 4330341444 is about 65805.3299057151. The cubic root of 4330341444 is about 1629.9491175605.

Adding to 4330341444 its reverse (4441430334), we get a palindrome (8771771778).

The spelling of 4330341444 in words is "four billion, three hundred thirty million, three hundred forty-one thousand, four hundred forty-four".