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34322220324 = 22327219457041
BaseRepresentation
bin11111111101110000…
…111000010100100100
310021120222022110000100
4133331300320110210
51030242442022244
623433432144100
72323352026200
oct377560702444
9107528273010
1034322220324
1113612aa9147
12679a538030
13330c994512
1419384b7b00
15d5d2ebb69
hex7fdc38524

34322220324 has 54 divisors (see below), whose sum is σ = 100923676854. Its totient is φ = 9806348160.

The previous prime is 34322220313. The next prime is 34322220337. The reversal of 34322220324 is 42302222343.

It is a happy number.

34322220324 is a `hidden beast` number, since 3 + 432 + 2 + 2 + 203 + 24 = 666.

It can be written as a sum of positive squares in only one way, i.e., 20343887424 + 13978332900 = 142632^2 + 118230^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 9726757 + ... + 9730284.

Almost surely, 234322220324 is an apocalyptic number.

It is an amenable number.

34322220324 is an abundant number, since it is smaller than the sum of its proper divisors (66601456530).

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

34322220324 is a wasteful number, since it uses less digits than its factorization.

34322220324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19457065 (or 19457053 counting only the distinct ones).

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

Adding to 34322220324 its reverse (42302222343), we get a palindrome (76624442667).

The spelling of 34322220324 in words is "thirty-four billion, three hundred twenty-two million, two hundred twenty thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 19457041 38914082 58371123 77828164 116742246 136199287 175113369 233484492 272398574 350226738 408597861 544797148 700453476 817195722 953395009 1225793583 1634391444 1906790018 2451587166 2860185027 3813580036 4903174332 5720370054 8580555081 11440740108 17161110162 34322220324