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34432322323443 = 3113762994476917
BaseRepresentation
bin1111101010000111001100…
…10101110100001111110011
311111220200211202002222122120
413311003212111310033303
514003114344003322233
6201121553541005323
710152440021460432
oct765034625641763
9144820752088576
1034432322323443
11aa75736337020
123a4126b0b3843
131629c530cb095
148707674d7119
153ea9e50d74b3
hex1f50e65743f3

34432322323443 has 32 divisors (see below), whose sum is σ = 51445160121600. Its totient is φ = 20300844216960.

The previous prime is 34432322323409. The next prime is 34432322323457.

34432322323443 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34432322323443 - 218 = 34432322061299 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34432322323395 and 34432322323404.

It is not an unprimeable number, because it can be changed into a prime (34432322323643) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5452621 + ... + 9929537.

It is an arithmetic number, because the mean of its divisors is an integer number (1607661253800).

Almost surely, 234432322323443 is an apocalyptic number.

34432322323443 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34432322323443 is a deficient number, since it is larger than the sum of its proper divisors (17012837798157).

34432322323443 is a wasteful number, since it uses less digits than its factorization.

34432322323443 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4483267.

The product of its digits is 2985984, while the sum is 42.

It can be divided in two parts, 3443232 and 2323443, that added together give a palindrome (5766675).

The spelling of 34432322323443 in words is "thirty-four trillion, four hundred thirty-two billion, three hundred twenty-two million, three hundred twenty-three thousand, four hundred forty-three".

Divisors: 1 3 11 33 37 111 407 1221 6299 18897 69289 207867 233063 699189 2563693 4476917 7691079 13430751 49246087 147738261 165645929 496937787 1822105219 5466315657 28200100183 84600300549 310201102013 930603306039 1043403706771 3130211120313 11477440774481 34432322323443