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34134342032 = 247774139371
BaseRepresentation
bin11111110010100100…
…001011100110010000
310021002212210020110002
4133302210023212100
51024401342421112
623403041225132
72315611056110
oct376244134620
9107085706402
1034134342032
1113526a4542a
1267476321a8
1332aca9272b
14191b56d040
15d4ba891c2
hex7f290b990

34134342032 has 40 divisors (see below), whose sum is σ = 75594869952. Its totient is φ = 14626742400.

The previous prime is 34134342029. The next prime is 34134342049. The reversal of 34134342032 is 23024343143.

It is a junction number, because it is equal to n+sod(n) for n = 34134341986 and 34134342004.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 847307 + ... + 886677.

Almost surely, 234134342032 is an apocalyptic number.

It is an amenable number.

34134342032 is an abundant number, since it is smaller than the sum of its proper divisors (41460527920).

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

34134342032 is a wasteful number, since it uses less digits than its factorization.

34134342032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47127 (or 47121 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 29.

Adding to 34134342032 its reverse (23024343143), we get a palindrome (57158685175).

The spelling of 34134342032 in words is "thirty-four billion, one hundred thirty-four million, three hundred forty-two thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 56 112 7741 15482 30964 39371 54187 61928 78742 108374 123856 157484 216748 275597 314968 433496 551194 629936 866992 1102388 2204776 4409552 304770911 609541822 1219083644 2133396377 2438167288 4266792754 4876334576 8533585508 17067171016 34134342032