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34204310544 = 2438915435189
BaseRepresentation
bin11111110110101111…
…000101110000010000
310021021202110000012110
4133312233011300100
51030022300414134
623414021025320
72320420561665
oct376657056020
9107252400173
1034204310544
1113562494848
126766b55240
1332c141cb11
141926983a6c
15d52caa7e9
hex7f6bc5c10

34204310544 has 80 divisors (see below), whose sum is σ = 89429097600. Its totient is φ = 11263853568.

The previous prime is 34204310531. The next prime is 34204310561. The reversal of 34204310544 is 44501340243.

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 15 ways as a sum of consecutive naturals, for example, 6589102 + ... + 6594290.

It is an arithmetic number, because the mean of its divisors is an integer number (1117863720).

Almost surely, 234204310544 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 34204310544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44714548800).

34204310544 is an abundant number, since it is smaller than the sum of its proper divisors (55224787056).

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

34204310544 is a wasteful number, since it uses less digits than its factorization.

34204310544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6832 (or 6826 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 34204310544 its reverse (44501340243), we get a palindrome (78705650787).

The spelling of 34204310544 in words is "thirty-four billion, two hundred four million, three hundred ten thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 89 178 267 356 534 712 1068 1424 1543 2136 3086 4272 4629 5189 6172 9258 10378 12344 15567 18516 20756 24688 31134 37032 41512 62268 74064 83024 124536 137327 249072 274654 411981 461821 549308 823962 923642 1098616 1385463 1647924 1847284 2197232 2770926 3295848 3694568 5541852 6591696 7389136 8006627 11083704 16013254 22167408 24019881 32026508 48039762 64053016 96079524 128106032 192159048 384318096 712589803 1425179606 2137769409 2850359212 4275538818 5700718424 8551077636 11401436848 17102155272 34204310544