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34824455744 = 261341856317
BaseRepresentation
bin100000011011101100…
…110000011001000000
310022212222100122111012
4200123230300121000
51032310030040434
623555332540052
72341660663331
oct403354603100
9108788318435
1034824455744
1113850552041
1268ba781628
13338ca4cc40
141985092288
15d8c4573ce
hex81bb30640

34824455744 has 28 divisors (see below), whose sum is σ = 74420533404. Its totient is φ = 16072825344.

The previous prime is 34824455741. The next prime is 34824455753. The reversal of 34824455744 is 44755442843.

It can be written as a sum of positive squares in 2 ways, for example, as 15703097344 + 19121358400 = 125312^2 + 138280^2 .

It is a junction number, because it is equal to n+sod(n) for n = 34824455692 and 34824455701.

It is not an unprimeable number, because it can be changed into a prime (34824455741) 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 3 ways as a sum of consecutive naturals, for example, 20927327 + ... + 20928990.

It is an arithmetic number, because the mean of its divisors is an integer number (2657876193).

Almost surely, 234824455744 is an apocalyptic number.

It is an amenable number.

34824455744 is an abundant number, since it is smaller than the sum of its proper divisors (39596077660).

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

34824455744 is a wasteful number, since it uses less digits than its factorization.

34824455744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41856342 (or 41856332 counting only the distinct ones).

The product of its digits is 8601600, while the sum is 50.

The spelling of 34824455744 in words is "thirty-four billion, eight hundred twenty-four million, four hundred fifty-five thousand, seven hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 832 41856317 83712634 167425268 334850536 544132121 669701072 1088264242 1339402144 2176528484 2678804288 4353056968 8706113936 17412227872 34824455744