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799134336 = 27347211213
BaseRepresentation
bin101111101000011…
…101001010000000
32001200201020020000
4233220131022000
53114034244321
6211144120000
725542346500
oct5750351200
92050636200
10799134336
113800aa500
121a3766000
13c973bb70
14781c1a00
154a255826
hex2fa1d280

799134336 has 720 divisors, whose sum is σ = 3274764570. Its totient is φ = 191600640.

The previous prime is 799134331. The next prime is 799134341. The reversal of 799134336 is 633431997.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (799134331) and next prime (799134341).

It can be written as a sum of positive squares in only one way, i.e., 768398400 + 30735936 = 27720^2 + 5544^2 .

It is a nude number because it is divisible by every one of its digits.

Its product of digits (367416) is a multiple of the sum of its prime divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 799134291 and 799134300.

It is not an unprimeable number, because it can be changed into a prime (799134331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 61471866 + ... + 61471878.

Almost surely, 2799134336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 799134336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1637382285).

799134336 is an abundant number, since it is smaller than the sum of its proper divisors (2475630234).

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

799134336 is a wasteful number, since it uses less digits than its factorization.

799134336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 36 counting only the distinct ones).

The product of its digits is 367416, while the sum is 45.

The square root of 799134336 is about 28268.9641833584. The cubic root of 799134336 is about 927.9828078464.

The spelling of 799134336 in words is "seven hundred ninety-nine million, one hundred thirty-four thousand, three hundred thirty-six".