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34836480048 = 243725760001
BaseRepresentation
bin100000011100011010…
…101000000000110000
310022220210222112201210
4200130122220000300
51032321114330143
624000442400120
72342165123526
oct403432500060
9108823875653
1034836480048
1113857315087
126902800040
1333923a0006
141986902316
15d8d530033
hex81c6a8030

34836480048 has 20 divisors (see below), whose sum is σ = 89994240248. Its totient is φ = 11612160000.

The previous prime is 34836480047. The next prime is 34836480071. The reversal of 34836480048 is 84008463843.

It is a Harshad number since it is a multiple of its sum of digits (48), and also a Moran number because the ratio is a prime number: 725760001 = 34836480048 / (3 + 4 + 8 + 3 + 6 + 4 + 8 + 0 + 0 + 4 + 8).

It is a junction number, because it is equal to n+sod(n) for n = 34836479979 and 34836480006.

It is not an unprimeable number, because it can be changed into a prime (34836480047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 362879953 + ... + 362880048.

Almost surely, 234836480048 is an apocalyptic number.

It is an amenable number.

34836480048 is an abundant number, since it is smaller than the sum of its proper divisors (55157760200).

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

34836480048 is a wasteful number, since it uses less digits than its factorization.

34836480048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725760012 (or 725760006 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 48.

The spelling of 34836480048 in words is "thirty-four billion, eight hundred thirty-six million, four hundred eighty thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 725760001 1451520002 2177280003 2903040004 4354560006 5806080008 8709120012 11612160016 17418240024 34836480048