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34434134032 = 2417226755843
BaseRepresentation
bin100000000100011011…
…110011000000010000
310021212202220020202111
4200010123303000100
51031010114242112
623452510555104
72326211211214
oct400433630020
9107782806674
1034434134032
1113670197611
12680bb08a94
133329c1994c
1419492ca944
15d680565a7
hex8046f3010

34434134032 has 40 divisors (see below), whose sum is σ = 70673039136. Its totient is φ = 16196860416.

The previous prime is 34434134029. The next prime is 34434134041. The reversal of 34434134032 is 23043143443.

It is a junction number, because it is equal to n+sod(n) for n = 34434133985 and 34434134003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 588703 + ... + 644545.

Almost surely, 234434134032 is an apocalyptic number.

It is an amenable number.

34434134032 is an abundant number, since it is smaller than the sum of its proper divisors (36238905104).

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

34434134032 is a wasteful number, since it uses less digits than its factorization.

34434134032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58135 (or 58129 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 31.

Adding to 34434134032 its reverse (23043143443), we get a palindrome (57477277475).

The spelling of 34434134032 in words is "thirty-four billion, four hundred thirty-four million, one hundred thirty-four thousand, thirty-two".

Divisors: 1 2 4 8 16 17 34 68 136 272 2267 4534 9068 18136 36272 38539 55843 77078 111686 154156 223372 308312 446744 616624 893488 949331 1898662 3797324 7594648 15189296 126596081 253192162 506384324 1012768648 2025537296 2152133377 4304266754 8608533508 17217067016 34434134032