Search a number
-
+
34004041032 = 233133710727529
BaseRepresentation
bin11111101010110011…
…000111110101001000
310020202210121021002010
4133222303013311020
51024120013303112
623342104335520
72312436402603
oct375263076510
9106683537063
1034004041032
111346a438355
12670ba745a0
13328ba9cc50
14190813133a
15d403eb63c
hex7eacc7d48

34004041032 has 128 divisors (see below), whose sum is σ = 94905820800. Its totient is φ = 10084497408.

The previous prime is 34004040997. The next prime is 34004041037. The reversal of 34004041032 is 23014040043.

It is not an unprimeable number, because it can be changed into a prime (34004041037) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1221444 + ... + 1248972.

It is an arithmetic number, because the mean of its divisors is an integer number (741451725).

Almost surely, 234004041032 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 34004041032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47452910400).

34004041032 is an abundant number, since it is smaller than the sum of its proper divisors (60901779768).

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

34004041032 is a wasteful number, since it uses less digits than its factorization.

34004041032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27695 (or 27691 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 34004041032 its reverse (23014040043), we get a palindrome (57018081075).

The spelling of 34004041032 in words is "thirty-four billion, four million, forty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 37 39 52 74 78 104 107 111 148 156 214 222 296 312 321 428 444 481 642 856 888 962 1284 1391 1443 1924 2568 2782 2886 3848 3959 4173 5564 5772 7918 8346 11128 11544 11877 15836 16692 23754 27529 31672 33384 47508 51467 55058 82587 95016 102934 110116 154401 165174 205868 220232 308802 330348 357877 411736 617604 660696 715754 1018573 1073631 1235208 1431508 2037146 2147262 2863016 2945603 3055719 4074292 4294524 5891206 6111438 8148584 8589048 8836809 11782412 12222876 13241449 17673618 23564824 24445752 26482898 35347236 38292839 39724347 52965796 70694472 76585678 79448694 105931592 108987311 114878517 153171356 158897388 217974622 229757034 306342712 317794776 326961933 435949244 459514068 653923866 871898488 919028136 1307847732 1416835043 2615695464 2833670086 4250505129 5667340172 8501010258 11334680344 17002020516 34004041032