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4300130688 = 273717139677
BaseRepresentation
bin1000000000100111…
…01100100110000000
3102002200110021100120
410000103230212000
532301313140223
61550410420240
7211363336110
oct40023544600
912080407316
104300130688
111907347917
12a00131680
13536b66b39
142cb15d040
151a27acbe3
hex1004ec980

4300130688 has 256 divisors, whose sum is σ = 13941849600. Its totient is φ = 1146322944.

The previous prime is 4300130687. The next prime is 4300130707. The reversal of 4300130688 is 8860310034.

It is a super-2 number, since 2×43001306882 = 36982247867758706688, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4300130687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6351406 + ... + 6352082.

It is an arithmetic number, because the mean of its divisors is an integer number (54460350).

Almost surely, 24300130688 is an apocalyptic number.

4300130688 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 4300130688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6970924800).

4300130688 is an abundant number, since it is smaller than the sum of its proper divisors (9641718912).

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

4300130688 is a wasteful number, since it uses less digits than its factorization.

4300130688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 857 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 4300130688 is about 65575.3817221067. The cubic root of 4300130688 is about 1626.1498056295.

The spelling of 4300130688 in words is "four billion, three hundred million, one hundred thirty thousand, six hundred eighty-eight".