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4319344080 = 2432531431449
BaseRepresentation
bin1000000010111001…
…11111010111010000
3102011000121102011200
410001130333113100
532321223002310
61552334311200
7212015550612
oct40134772720
912130542150
104319344080
111917180157
12a06658500
1353ab331cc
142cd920db2
151a43059c0
hex10173f5d0

4319344080 has 240 divisors, whose sum is σ = 15041894400. Its totient is φ = 1109606400.

The previous prime is 4319344067. The next prime is 4319344091. The reversal of 4319344080 is 804439134.

It is a tau number, because it is divible by the number of its divisors (240).

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

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, 9619696 + ... + 9620144.

It is an arithmetic number, because the mean of its divisors is an integer number (62674560).

Almost surely, 24319344080 is an apocalyptic number.

4319344080 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 4319344080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7520947200).

4319344080 is an abundant number, since it is smaller than the sum of its proper divisors (10722550320).

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

4319344080 is a wasteful number, since it uses less digits than its factorization.

4319344080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 930 (or 921 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 4319344080 is about 65721.7169587040. The cubic root of 4319344080 is about 1628.5681379699.

The spelling of 4319344080 in words is "four billion, three hundred nineteen million, three hundred forty-four thousand, eighty".