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4320808128 = 2632713217373
BaseRepresentation
bin1000000011000101…
…00100110011000000
3102011010100210110200
410001202210303000
532322111330003
61552425525200
7212034156150
oct40142446300
912133323420
104320808128
111917a9010a
12a07043800
1353b226700
142cdbc2760
151a44e46a3
hex1018a4cc0

4320808128 has 504 divisors, whose sum is σ = 16271674848. Its totient is φ = 1069645824.

The previous prime is 4320808127. The next prime is 4320808133. The reversal of 4320808128 is 8218080234.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4320808092 and 4320808101.

It is not an unprimeable number, because it can be changed into a prime (4320808123) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11583750 + ... + 11584122.

Almost surely, 24320808128 is an apocalyptic number.

4320808128 is a gapful number since it is divisible by the number (48) 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 4320808128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8135837424).

4320808128 is an abundant number, since it is smaller than the sum of its proper divisors (11950866720).

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

4320808128 is a wasteful number, since it uses less digits than its factorization.

4320808128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 4320808128 is about 65732.8542511277. The cubic root of 4320808128 is about 1628.7521190362.

The spelling of 4320808128 in words is "four billion, three hundred twenty million, eight hundred eight thousand, one hundred twenty-eight".