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34228086084 = 2234105642241
BaseRepresentation
bin11111111000001001…
…110010010101000100
310021100102011221010000
4133320021302111010
51030044342223314
623420230401300
72321126634303
oct377011622504
9107312157100
1034228086084
1113574953755
126772b00230
1332c632589a
141929bb243a
15d54e05209
hex7f8272544

34228086084 has 30 divisors (see below), whose sum is σ = 89478978974. Its totient is φ = 11409361920.

The previous prime is 34228086073. The next prime is 34228086091. The reversal of 34228086084 is 48068082243.

34228086084 is a `hidden beast` number, since 34 + 2 + 2 + 8 + 0 + 8 + 608 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 32044580100 + 2183505984 = 179010^2 + 46728^2 .

It is a super-3 number, since 3×342280860843 (a number of 33 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 52820797 + ... + 52821444.

Almost surely, 234228086084 is an apocalyptic number.

It is an amenable number.

34228086084 is an abundant number, since it is smaller than the sum of its proper divisors (55250892890).

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

34228086084 is a wasteful number, since it uses less digits than its factorization.

34228086084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105642257 (or 105642246 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 34228086084 in words is "thirty-four billion, two hundred twenty-eight million, eighty-six thousand, eighty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 105642241 211284482 316926723 422568964 633853446 950780169 1267706892 1901560338 2852340507 3803120676 5704681014 8557021521 11409362028 17114043042 34228086084