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34436456427 = 359281692371
BaseRepresentation
bin100000000100100100…
…101001111111101011
310021212221021020111010
4200010210221333223
51031011213101202
623453032435003
72326240023102
oct400444517753
9107787236433
1034436456427
111367153344a
126810848a63
13332a550a49
141949733039
15d6836476c
hex804929feb

34436456427 has 16 divisors (see below), whose sum is σ = 46859736960. Its totient is φ = 22488177600.

The previous prime is 34436456413. The next prime is 34436456429. The reversal of 34436456427 is 72465463443.

It is not a de Polignac number, because 34436456427 - 214 = 34436440043 is a prime.

It is a super-3 number, since 3×344364564273 (a number of 33 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (34436456429) 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 15 ways as a sum of consecutive naturals, for example, 296449 + ... + 395922.

It is an arithmetic number, because the mean of its divisors is an integer number (2928733560).

Almost surely, 234436456427 is an apocalyptic number.

34436456427 is a deficient number, since it is larger than the sum of its proper divisors (12423280533).

34436456427 is a wasteful number, since it uses less digits than its factorization.

34436456427 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692714.

The product of its digits is 5806080, while the sum is 48.

The spelling of 34436456427 in words is "thirty-four billion, four hundred thirty-six million, four hundred fifty-six thousand, four hundred twenty-seven".

Divisors: 1 3 59 177 281 843 16579 49737 692371 2077113 40849889 122549667 194556251 583668753 11478818809 34436456427