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34048582276 = 22291012906161
BaseRepresentation
bin11111101101011101…
…000010001010000100
310020212220102012011211
4133231131002022010
51024212414113101
623350335141204
72313520113502
oct375535021204
9106786365154
1034048582276
111349259a8a5
126722974804
133298096807
141910007672
15d44298c51
hex7ed742284

34048582276 has 24 divisors (see below), whose sum is σ = 62249990040. Its totient is φ = 16274496000.

The previous prime is 34048582273. The next prime is 34048582279. The reversal of 34048582276 is 67228584043.

It is an interprime number because it is at equal distance from previous prime (34048582273) and next prime (34048582279).

It can be written as a sum of positive squares in 4 ways, for example, as 5274245376 + 28774336900 = 72624^2 + 169630^2 .

It is not an unprimeable number, because it can be changed into a prime (34048582273) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1441365 + ... + 1464796.

It is an arithmetic number, because the mean of its divisors is an integer number (2593749585).

Almost surely, 234048582276 is an apocalyptic number.

It is an amenable number.

34048582276 is a deficient number, since it is larger than the sum of its proper divisors (28201407764).

34048582276 is a wasteful number, since it uses less digits than its factorization.

34048582276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2906295 (or 2906293 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 49.

The spelling of 34048582276 in words is "thirty-four billion, forty-eight million, five hundred eighty-two thousand, two hundred seventy-six".

Divisors: 1 2 4 29 58 101 116 202 404 2929 5858 11716 2906161 5812322 11624644 84278669 168557338 293522261 337114676 587044522 1174089044 8512145569 17024291138 34048582276