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4339319424 = 273112611531
BaseRepresentation
bin1000000101010010…
…01100001010000000
3102012102012021012020
410002221030022000
532341331210144
61554330401440
7212350415016
oct40251141200
912172167166
104339319424
111927483a00
12a11290280
1354200833b
142d24408b6
151a5e4e419
hex102a4c280

4339319424 has 192 divisors, whose sum is σ = 12885529440. Its totient is φ = 1292544000.

The previous prime is 4339319423. The next prime is 4339319473. The reversal of 4339319424 is 4249139334.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (4339319423) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2833539 + ... + 2835069.

Almost surely, 24339319424 is an apocalyptic number.

4339319424 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 4339319424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6442764720).

4339319424 is an abundant number, since it is smaller than the sum of its proper divisors (8546210016).

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

4339319424 is a wasteful number, since it uses less digits than its factorization.

4339319424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1631 (or 1608 counting only the distinct ones).

The product of its digits is 279936, while the sum is 42.

The square root of 4339319424 is about 65873.5107915162. The cubic root of 4339319424 is about 1631.0747831473.

The spelling of 4339319424 in words is "four billion, three hundred thirty-nine million, three hundred nineteen thousand, four hundred twenty-four".