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34213023305 = 510167748561
BaseRepresentation
bin11111110111010000…
…010100111001001001
310021022100211122212022
4133313100110321021
51030032013221210
623414531454225
72320554620426
oct376720247111
9107270748768
1034213023305
11135673a587a
126769a57375
1332c31807b6
141927bb0d4d
15d5392c155
hex7f7414e49

34213023305 has 8 divisors (see below), whose sum is σ = 41462119944. Its totient is φ = 27099424000.

The previous prime is 34213023281. The next prime is 34213023307. The reversal of 34213023305 is 50332031243.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 16050609481 + 18162413824 = 126691^2 + 134768^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 34213023305 - 218 = 34212761161 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34213023307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33873776 + ... + 33874785.

It is an arithmetic number, because the mean of its divisors is an integer number (5182764993).

Almost surely, 234213023305 is an apocalyptic number.

It is an amenable number.

34213023305 is a deficient number, since it is larger than the sum of its proper divisors (7249096639).

34213023305 is a wasteful number, since it uses less digits than its factorization.

34213023305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67748667.

The product of its (nonzero) digits is 6480, while the sum is 26.

Adding to 34213023305 its reverse (50332031243), we get a palindrome (84545054548).

The spelling of 34213023305 in words is "thirty-four billion, two hundred thirteen million, twenty-three thousand, three hundred five".

Divisors: 1 5 101 505 67748561 338742805 6842604661 34213023305