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34432220034 = 2329292059097
BaseRepresentation
bin100000000100010100…
…011111101110000010
310021212122022000020200
4200010110133232002
51031004122020114
623452401550030
72326156020102
oct400424375602
9107778260220
1034432220034
111366a0aa5a3
12680b345316
1333296c96c4
141948d4d202
15d67cc9409
hex80451fb82

34432220034 has 24 divisors (see below), whose sum is σ = 74683484460. Its totient is φ = 11465046528.

The previous prime is 34432220023. The next prime is 34432220041. The reversal of 34432220034 is 43002223443.

34432220034 is a `hidden beast` number, since 3 + 4 + 432 + 220 + 0 + 3 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 33104710809 + 1327509225 = 181947^2 + 36435^2 .

It is a super-2 number, since 2×344322200342 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1012827 + ... + 1046270.

Almost surely, 234432220034 is an apocalyptic number.

34432220034 is an abundant number, since it is smaller than the sum of its proper divisors (40251264426).

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

34432220034 is a wasteful number, since it uses less digits than its factorization.

34432220034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2060034 (or 2060031 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

Adding to 34432220034 its reverse (43002223443), we get a palindrome (77434443477).

It can be divided in two parts, 344 and 32220034, that added together give a triangular number (32220378 = T8027).

The spelling of 34432220034 in words is "thirty-four billion, four hundred thirty-two million, two hundred twenty thousand, thirty-four".

Divisors: 1 2 3 6 9 18 929 1858 2787 5574 8361 16722 2059097 4118194 6177291 12354582 18531873 37063746 1912901113 3825802226 5738703339 11477406678 17216110017 34432220034