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34211300442 = 23114171178067
BaseRepresentation
bin11111110111001001…
…110000010001011010
310021022020121010112120
4133313021300101122
51030031043103232
623414430522110
72320534153464
oct376711602132
9107266533476
1034211300442
1113566429420
126769366336
1332c29c9557
141927883134
15d536db92c
hex7f727045a

34211300442 has 64 divisors (see below), whose sum is σ = 77540779008. Its totient is φ = 9971696000.

The previous prime is 34211300441. The next prime is 34211300489. The reversal of 34211300442 is 24400311243.

It is not an unprimeable number, because it can be changed into a prime (34211300441) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 103093 + ... + 281159.

It is an arithmetic number, because the mean of its divisors is an integer number (1211574672).

Almost surely, 234211300442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34211300442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38770389504).

34211300442 is an abundant number, since it is smaller than the sum of its proper divisors (43329478566).

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

34211300442 is a wasteful number, since it uses less digits than its factorization.

34211300442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178195.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 34211300442 its reverse (24400311243), we get a palindrome (58611611685).

The spelling of 34211300442 in words is "thirty-four billion, two hundred eleven million, three hundred thousand, four hundred forty-two".

Divisors: 1 2 3 6 11 22 33 41 66 71 82 123 142 213 246 426 451 781 902 1353 1562 2343 2706 2911 4686 5822 8733 17466 32021 64042 96063 178067 192126 356134 534201 1068402 1958737 3917474 5876211 7300747 11752422 12642757 14601494 21902241 25285514 37928271 43804482 75856542 80308217 139070327 160616434 240924651 278140654 417210981 481849302 518353037 834421962 1036706074 1555059111 3110118222 5701883407 11403766814 17105650221 34211300442