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34402240411 = 731128613187
BaseRepresentation
bin100000000010100010…
…001000011110011011
310021210112212212221021
4200002202020132123
51030423433143121
623445411223311
72325343135000
oct400242103633
9107715785837
1034402240411
1113654193450
1268012a7b37
133323430a96
141944d878a7
15d65356641
hex80288879b

34402240411 has 32 divisors (see below), whose sum is σ = 43795468800. Its totient is φ = 26789162400.

The previous prime is 34402240357. The next prime is 34402240423. The reversal of 34402240411 is 11404220443.

It is not a de Polignac number, because 34402240411 - 211 = 34402238363 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34402240811) 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 31 ways as a sum of consecutive naturals, for example, 10792960 + ... + 10796146.

It is an arithmetic number, because the mean of its divisors is an integer number (1368608400).

Almost surely, 234402240411 is an apocalyptic number.

34402240411 is a deficient number, since it is larger than the sum of its proper divisors (9393228389).

34402240411 is a wasteful number, since it uses less digits than its factorization.

34402240411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6080 (or 6066 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 34402240411 its reverse (11404220443), we get a palindrome (45806460854).

The spelling of 34402240411 in words is "thirty-four billion, four hundred two million, two hundred forty thousand, four hundred eleven".

Divisors: 1 7 11 49 77 343 539 2861 3187 3773 20027 22309 31471 35057 140189 156163 220297 245399 981323 1093141 1542079 1717793 9118007 10794553 12024551 63826049 100298077 446782343 702086539 3127476401 4914605773 34402240411