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34274434405 = 537401462013
BaseRepresentation
bin11111111010111010…
…100101110101100101
310021110122101200001111
4133322322211311211
51030143223400110
623425004025021
72322231612511
oct377272456545
9107418350044
1034274434405
111359902a952
126786532171
133302b02b23
141931dd9141
15d5900ce8a
hex7faea5d65

34274434405 has 16 divisors (see below), whose sum is σ = 42346355184. Its totient is φ = 26611891200.

The previous prime is 34274434391. The next prime is 34274434429. The reversal of 34274434405 is 50443447243.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 6826560129 + 27447874276 = 82623^2 + 165674^2 .

It is not a de Polignac number, because 34274434405 - 225 = 34240879973 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 156822 + ... + 305191.

It is an arithmetic number, because the mean of its divisors is an integer number (2646647199).

Almost surely, 234274434405 is an apocalyptic number.

It is an amenable number.

34274434405 is a deficient number, since it is larger than the sum of its proper divisors (8071920779).

34274434405 is a wasteful number, since it uses less digits than its factorization.

34274434405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462456.

The product of its (nonzero) digits is 645120, while the sum is 40.

The spelling of 34274434405 in words is "thirty-four billion, two hundred seventy-four million, four hundred thirty-four thousand, four hundred five".

Divisors: 1 5 37 185 401 2005 14837 74185 462013 2310065 17094481 85472405 185267213 926336065 6854886881 34274434405