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444303144 = 23351923523
BaseRepresentation
bin11010011110111…
…000011100101000
31010222000221100000
4122132320130220
51402220200034
6112030543000
714003341305
oct3236703450
91128027300
10444303144
1120888558a
12104967a60
137108398c
14430180ac
1529015599
hex1a7b8728

444303144 has 192 divisors, whose sum is σ = 1373299200. Its totient is φ = 133949376.

The previous prime is 444303131. The next prime is 444303157. The reversal of 444303144 is 441303444.

It is an interprime number because it is at equal distance from previous prime (444303131) and next prime (444303157).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 849267 + ... + 849789.

It is an arithmetic number, because the mean of its divisors is an integer number (7152600).

Almost surely, 2444303144 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 444303144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686649600).

444303144 is an abundant number, since it is smaller than the sum of its proper divisors (928996056).

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

444303144 is a wasteful number, since it uses less digits than its factorization.

444303144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 444303144 is about 21078.4995670944. The cubic root of 444303144 is about 763.0619454811.

Adding to 444303144 its reverse (441303444), we get a palindrome (885606588).

It can be divided in two parts, 44430 and 3144, that added together give a palindrome (47574).

The spelling of 444303144 in words is "four hundred forty-four million, three hundred three thousand, one hundred forty-four".