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34814474368 = 27614458821
BaseRepresentation
bin100000011011000110…
…101011100010000000
310022212021120112121121
4200123012223202000
51032300001134433
623554335002024
72341510102162
oct403306534200
9108767515547
1034814474368
1113845954973
1268b7369314
13338a9669bb
141983a14932
15d8b634c2d
hex81b1ab880

34814474368 has 32 divisors (see below), whose sum is σ = 70493975820. Its totient is φ = 17121868800.

The previous prime is 34814474363. The next prime is 34814474381. The reversal of 34814474368 is 86347441843.

It can be written as a sum of positive squares in 2 ways, for example, as 34658524224 + 155950144 = 186168^2 + 12488^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (34814474363) 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, 2221603 + ... + 2237218.

Almost surely, 234814474368 is an apocalyptic number.

It is an amenable number.

34814474368 is an abundant number, since it is smaller than the sum of its proper divisors (35679501452).

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

34814474368 is an equidigital number, since it uses as much as digits as its factorization.

34814474368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4458896 (or 4458884 counting only the distinct ones).

The product of its digits is 6193152, while the sum is 52.

The spelling of 34814474368 in words is "thirty-four billion, eight hundred fourteen million, four hundred seventy-four thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 32 61 64 122 128 244 488 976 1952 3904 7808 4458821 8917642 17835284 35670568 71341136 142682272 271988081 285364544 543976162 570729088 1087952324 2175904648 4351809296 8703618592 17407237184 34814474368