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34430104020 = 22351344141159
BaseRepresentation
bin100000000100001100…
…011011000111010100
310021212111022111121210
4200010030123013110
51031003101312040
623452244341420
72326132025004
oct400414330724
9107774274553
1034430104020
1113668994824
12680a6a4870
133329138520
14194895c004
15d67a0c480
hex80431b1d4

34430104020 has 48 divisors (see below), whose sum is σ = 103820008320. Its totient is φ = 8475102336.

The previous prime is 34430103997. The next prime is 34430104021. The reversal of 34430104020 is 2040103443.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34430104021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22069800 + ... + 22071359.

It is an arithmetic number, because the mean of its divisors is an integer number (2162916840).

Almost surely, 234430104020 is an apocalyptic number.

34430104020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34430104020 is an abundant number, since it is smaller than the sum of its proper divisors (69389904300).

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

34430104020 is a wasteful number, since it uses less digits than its factorization.

34430104020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44141184 (or 44141182 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 34430104020 its reverse (2040103443), we get a palindrome (36470207463).

The spelling of 34430104020 in words is "thirty-four billion, four hundred thirty million, one hundred four thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 44141159 88282318 132423477 176564636 220705795 264846954 441411590 529693908 573835067 662117385 882823180 1147670134 1324234770 1721505201 2295340268 2648469540 2869175335 3443010402 5738350670 6886020804 8607526005 11476701340 17215052010 34430104020