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8438386349 = 233431272
BaseRepresentation
bin1111101101111011…
…11000111010101101
3210210002022102220202
413312331320322231
5114240211330344
63513155523245
7416053046321
oct76675707255
923702272822
108438386349
113640281618
121775bb9525
13a46304923
145a09c1981
15345c4294e
hex1f6f78ead

8438386349 has 24 divisors (see below), whose sum is σ = 9098717760. Its totient is φ = 7821713592.

The previous prime is 8438386321. The next prime is 8438386379. The reversal of 8438386349 is 9436838348.

It is a happy number.

It is not a de Polignac number, because 8438386349 - 220 = 8437337773 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 8438386294 and 8438386303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8438386379) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66443924 + ... + 66444050.

It is an arithmetic number, because the mean of its divisors is an integer number (379113240).

Almost surely, 28438386349 is an apocalyptic number.

It is an amenable number.

8438386349 is a deficient number, since it is larger than the sum of its proper divisors (660331411).

8438386349 is an frugal number, since it uses more digits than its factorization.

8438386349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 193 counting only the distinct ones).

The product of its digits is 11943936, while the sum is 56.

The square root of 8438386349 is about 91860.6899005227. The cubic root of 8438386349 is about 2035.8844965084.

The spelling of 8438386349 in words is "eight billion, four hundred thirty-eight million, three hundred eighty-six thousand, three hundred forty-nine".

Divisors: 1 23 43 127 529 989 2921 5461 12167 16129 22747 67183 125603 370967 523181 693547 1545209 2888869 8532241 15951581 66443987 196241543 366886363 8438386349