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4300313472 = 27327131719127
BaseRepresentation
bin1000000000101000…
…11001001110000000
3102002200210120002100
410000110121032000
532301340012342
61550414350400
7211365030030
oct40024311600
912080716070
104300313472
111907462184
12a001bb400
13536bcc0b0
142cb1a98c0
151a27e6e4c
hex100519380

4300313472 has 768 divisors, whose sum is σ = 17108582400. Its totient is φ = 1003290624.

The previous prime is 4300313449. The next prime is 4300313497. The reversal of 4300313472 is 2743130034.

4300313472 is a `hidden beast` number, since 4 + 300 + 313 + 47 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33860673 + ... + 33860799.

It is an arithmetic number, because the mean of its divisors is an integer number (22276800).

Almost surely, 24300313472 is an apocalyptic number.

4300313472 is a gapful number since it is divisible by the number (42) 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 4300313472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8554291200).

4300313472 is an abundant number, since it is smaller than the sum of its proper divisors (12808268928).

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

4300313472 is a wasteful number, since it uses less digits than its factorization.

4300313472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 4300313472 is about 65576.7754010519. The cubic root of 4300313472 is about 1626.1728460111.

The spelling of 4300313472 in words is "four billion, three hundred million, three hundred thirteen thousand, four hundred seventy-two".