Search a number
-
+
434217436604 = 227312103156671
BaseRepresentation
bin1100101000110010110…
…00000100010110111100
31112111210100201020202122
412110121120010112330
524103234130432404
6531250550342112
743241212212260
oct6243130042674
91474710636678
10434217436604
11158172471a26
12701a265a938
1331c3c6a5853
14170327a20a0
15b4658e83be
hex65196045bc

434217436604 has 72 divisors (see below), whose sum is σ = 906070523904. Its totient is φ = 178340594400.

The previous prime is 434217436591. The next prime is 434217436693. The reversal of 434217436604 is 406634712434.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2693189 + ... + 2849859.

It is an arithmetic number, because the mean of its divisors is an integer number (12584312832).

Almost surely, 2434217436604 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 434217436604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453035261952).

434217436604 is an abundant number, since it is smaller than the sum of its proper divisors (471853087300).

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

434217436604 is a wasteful number, since it uses less digits than its factorization.

434217436604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156847 (or 156814 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 44.

The spelling of 434217436604 in words is "four hundred thirty-four billion, two hundred seventeen million, four hundred thirty-six thousand, six hundred four".

Divisors: 1 2 4 7 14 28 31 62 103 124 206 217 412 434 721 868 961 1442 1922 2884 3193 3844 6386 6727 12772 13454 22351 26908 44702 89404 98983 156671 197966 313342 395932 626684 692881 1096697 1385762 2193394 2771524 4386788 4856801 9713602 16137113 19427204 32274226 33997607 64548452 67995214 112959791 135990428 150560831 225919582 301121662 451839164 500250503 602243324 1000501006 1053925817 2001002012 2107851634 3501753521 4215703268 7003507042 14007014084 15507765593 31015531186 62031062372 108554359151 217108718302 434217436604