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34046126316 = 22327312955147
BaseRepresentation
bin11111101101010011…
…101010100011101100
310020212201210102020100
4133231103222203230
51024211302020231
623350210351100
72313460204326
oct375523524354
9106781712210
1034046126316
1113491172684
126721b8b490
133297716997
14190d968616
15d43e611e6
hex7ed4ea8ec

34046126316 has 36 divisors (see below), whose sum is σ = 87239966632. Its totient is φ = 11193246144.

The previous prime is 34046126311. The next prime is 34046126363. The reversal of 34046126316 is 61362164043.

34046126316 is a `hidden beast` number, since 3 + 4 + 0 + 4 + 6 + 12 + 631 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (34046126311) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6474946 + ... + 6480201.

Almost surely, 234046126316 is an apocalyptic number.

34046126316 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

34046126316 is an abundant number, since it is smaller than the sum of its proper divisors (53193840316).

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

34046126316 is a wasteful number, since it uses less digits than its factorization.

34046126316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12955230 (or 12955225 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 34046126316 in words is "thirty-four billion, forty-six million, one hundred twenty-six thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 73 146 219 292 438 657 876 1314 2628 12955147 25910294 38865441 51820588 77730882 116596323 155461764 233192646 466385292 945725731 1891451462 2837177193 3782902924 5674354386 8511531579 11348708772 17023063158 34046126316