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34145434340 = 2251707271717
BaseRepresentation
bin11111110011001110…
…011111101011100100
310021010122122210020022
4133303032133223210
51024412212344330
623404115054312
72316104255153
oct376316375344
9107118583208
1034145434340
1113532231226
12674b2a1398
1332b2177524
14191cc1959a
15d4ca2aae5
hex7f339fae4

34145434340 has 12 divisors (see below), whose sum is σ = 71705412156. Its totient is φ = 13658173728.

The previous prime is 34145434327. The next prime is 34145434391. The reversal of 34145434340 is 4343454143.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 18404720896 + 15740713444 = 135664^2 + 125462^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 34145434340.

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 3 ways as a sum of consecutive naturals, for example, 853635839 + ... + 853635878.

It is an arithmetic number, because the mean of its divisors is an integer number (5975451013).

Almost surely, 234145434340 is an apocalyptic number.

It is an amenable number.

34145434340 is an abundant number, since it is smaller than the sum of its proper divisors (37559977816).

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

34145434340 is a wasteful number, since it uses less digits than its factorization.

34145434340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1707271726 (or 1707271724 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 35.

Adding to 34145434340 its reverse (4343454143), we get a palindrome (38488888483).

The spelling of 34145434340 in words is "thirty-four billion, one hundred forty-five million, four hundred thirty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 1707271717 3414543434 6829086868 8536358585 17072717170 34145434340