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34436243405 = 5101257265333
BaseRepresentation
bin100000000100100011…
…110101111111001101
310021212220212102021102
4200010203311333031
51031011134242110
623453024112445
72326235145044
oct400443657715
9107786772242
1034436243405
11136713a83a3
126810765725
13332a4a7ab5
1419496b955b
15d683215a5
hex8048f5fcd

34436243405 has 16 divisors (see below), whose sum is σ = 41895177264. Its totient is φ = 27169996800.

The previous prime is 34436243399. The next prime is 34436243407. The reversal of 34436243405 is 50434263443.

34436243405 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 2229633961 + 32206609444 = 47219^2 + 179462^2 .

It is not a de Polignac number, because 34436243405 - 24 = 34436243389 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34436243407) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2882 + ... + 262451.

It is an arithmetic number, because the mean of its divisors is an integer number (2618448579).

Almost surely, 234436243405 is an apocalyptic number.

It is an amenable number.

34436243405 is a deficient number, since it is larger than the sum of its proper divisors (7458933859).

34436243405 is a wasteful number, since it uses less digits than its factorization.

34436243405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265696.

The product of its (nonzero) digits is 414720, while the sum is 38.

The spelling of 34436243405 in words is "thirty-four billion, four hundred thirty-six million, two hundred forty-three thousand, four hundred five".

Divisors: 1 5 101 257 505 1285 25957 129785 265333 1326665 26798633 68190581 133993165 340952905 6887248681 34436243405