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4329347568 = 2437213178329
BaseRepresentation
bin1000000100000110…
…01001100111110000
3102011201102122101020
410002003021213300
532331303110233
61553332535440
7212166563400
oct40203114760
912151378336
104329347568
1119218929a7
12a09a81580
1353cc26530
142d0da6800
151a512e9b3
hex1020c99f0

4329347568 has 240 divisors, whose sum is σ = 14836862880. Its totient is φ = 1074511872.

The previous prime is 4329347567. The next prime is 4329347587. The reversal of 4329347568 is 8657439234.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 4329347568.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4329347567) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 515628 + ... + 523956.

It is an arithmetic number, because the mean of its divisors is an integer number (61820262).

Almost surely, 24329347568 is an apocalyptic number.

4329347568 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 4329347568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7418431440).

4329347568 is an abundant number, since it is smaller than the sum of its proper divisors (10507515312).

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

4329347568 is a wasteful number, since it uses less digits than its factorization.

4329347568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8384 (or 8371 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 51.

The square root of 4329347568 is about 65797.7778348175. Note that the first 3 decimals coincide. The cubic root of 4329347568 is about 1629.8244090527.

The spelling of 4329347568 in words is "four billion, three hundred twenty-nine million, three hundred forty-seven thousand, five hundred sixty-eight".