Search a number
-
+
3466135112 = 231179836007
BaseRepresentation
bin1100111010011001…
…0000011001001000
322221120010220111112
43032212100121020
524044312310422
61331535145452
7151615443116
oct31646203110
98846126445
103466135112
1115195a7680
12808975288
1343314042b
1424c4a4ab6
1515446cee2
hexce990648

3466135112 has 64 divisors (see below), whose sum is σ = 7267276800. Its totient is φ = 1536575040.

The previous prime is 3466135109. The next prime is 3466135147. The reversal of 3466135112 is 2115316643.

It is a super-2 number, since 2×34661351122 = 24028185229278505088, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 574013 + ... + 580019.

It is an arithmetic number, because the mean of its divisors is an integer number (113551200).

Almost surely, 23466135112 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 3466135112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3633638400).

3466135112 is an abundant number, since it is smaller than the sum of its proper divisors (3801141688).

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

3466135112 is a wasteful number, since it uses less digits than its factorization.

3466135112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6186 (or 6182 counting only the distinct ones).

The product of its digits is 12960, while the sum is 32.

The square root of 3466135112 is about 58873.8915989083. The cubic root of 3466135112 is about 1513.3817620310.

The spelling of 3466135112 in words is "three billion, four hundred sixty-six million, one hundred thirty-five thousand, one hundred twelve".

Divisors: 1 2 4 8 11 22 44 79 83 88 158 166 316 332 632 664 869 913 1738 1826 3476 3652 6007 6557 6952 7304 12014 13114 24028 26228 48056 52456 66077 72127 132154 144254 264308 288508 474553 498581 528616 577016 949106 997162 1898212 1994324 3796424 3988648 5220083 5484391 10440166 10968782 20880332 21937564 39387899 41760664 43875128 78775798 157551596 315103192 433266889 866533778 1733067556 3466135112