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34579610145 = 325312799621
BaseRepresentation
bin100000001101000110…
…101111101000100001
310022020220122012110200
4200031012233220201
51031304340011040
623515145015413
72332625556633
oct401506575041
9108226565420
1034579610145
1113735319a03
126850784569
1333510c36a2
141960758a53
15d75be0630
hex80d1afa21

34579610145 has 36 divisors (see below), whose sum is σ = 61933922388. Its totient is φ = 17847518400.

The previous prime is 34579610119. The next prime is 34579610159. The reversal of 34579610145 is 54101697543.

34579610145 is a `hidden beast` number, since 3 + 4 + 579 + 61 + 0 + 14 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5646620736 + 28932989409 = 75144^2 + 170097^2 .

It is not a de Polignac number, because 34579610145 - 25 = 34579610113 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 34579610145.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 356566 + ... + 443055.

It is an arithmetic number, because the mean of its divisors is an integer number (1720386733).

Almost surely, 234579610145 is an apocalyptic number.

It is an amenable number.

34579610145 is a deficient number, since it is larger than the sum of its proper divisors (27354312243).

34579610145 is a wasteful number, since it uses less digits than its factorization.

34579610145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799694 (or 799660 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 34579610145 in words is "thirty-four billion, five hundred seventy-nine million, six hundred ten thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 31 45 93 155 279 465 961 1395 2883 4805 8649 14415 43245 799621 2398863 3998105 7196589 11994315 24788251 35982945 74364753 123941255 223094259 371823765 768435781 1115471295 2305307343 3842178905 6915922029 11526536715 34579610145