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34233403220 = 22529896311051
BaseRepresentation
bin11111111000011110…
…000100011101010100
310021100210012001211222
4133320132010131110
51030102222400340
623420540345512
72321223061202
oct377036043524
9107323161758
1034233403220
1113577955585
126774845298
1332c7467b13
14192a798072
15d556058b5
hex7f8784754

34233403220 has 96 divisors (see below), whose sum is σ = 75395577600. Its totient is φ = 13039488000.

The previous prime is 34233403177. The next prime is 34233403229. The reversal of 34233403220 is 2230433243.

It is a self number, because there is not a number n which added to its sum of digits gives 34233403220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34233403229) 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, 32571695 + ... + 32572745.

It is an arithmetic number, because the mean of its divisors is an integer number (785370600).

Almost surely, 234233403220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34233403220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37697788800).

34233403220 is an abundant number, since it is smaller than the sum of its proper divisors (41162174380).

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

34233403220 is a wasteful number, since it uses less digits than its factorization.

34233403220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1809 (or 1807 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 26.

Adding to 34233403220 its reverse (2230433243), we get a palindrome (36463836463).

The spelling of 34233403220 in words is "thirty-four billion, two hundred thirty-three million, four hundred three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 89 116 145 178 290 356 445 580 631 890 1051 1262 1780 2102 2524 2581 3155 4204 5162 5255 6310 10324 10510 12620 12905 18299 21020 25810 30479 36598 51620 56159 60958 73196 91495 93539 112318 121916 152395 182990 187078 224636 280795 304790 365980 374156 467695 561590 609580 663181 935390 1123180 1326362 1628611 1870780 2652724 2712631 3257222 3315905 5425262 6514444 6631810 8143055 10850524 13263620 13563155 16286110 19232249 27126310 32572220 38464498 54252620 59023109 76928996 96161245 118046218 192322490 236092436 295115545 384644980 590231090 1180462180 1711670161 3423340322 6846680644 8558350805 17116701610 34233403220