Search a number
-
+
334141704876 = 223723457378449
BaseRepresentation
bin1001101110011000110…
…01011100101010101100
31011221110220120100010010
410313030121130222230
520433310234024001
6413300320213220
733066225425460
oct4671431345254
91157426510103
10334141704876
11119788310521
125491346a210
132568129b745
141225b66a4a0
158a59bee8d6
hex4dcc65caac

334141704876 has 96 divisors (see below), whose sum is σ = 931822617600. Its totient is φ = 91118168064.

The previous prime is 334141704829. The next prime is 334141704901. The reversal of 334141704876 is 678407141433.

334141704876 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3341417048762 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 693700 + ... + 1072148.

It is an arithmetic number, because the mean of its divisors is an integer number (9706485600).

Almost surely, 2334141704876 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 334141704876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465911308800).

334141704876 is an abundant number, since it is smaller than the sum of its proper divisors (597680912724).

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

334141704876 is a wasteful number, since it uses less digits than its factorization.

334141704876 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378943 (or 378941 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 48.

The spelling of 334141704876 in words is "three hundred thirty-four billion, one hundred forty-one million, seven hundred four thousand, eight hundred seventy-six".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 69 84 92 138 161 276 322 457 483 644 914 966 1371 1828 1932 2742 3199 5484 6398 9597 10511 12796 19194 21022 31533 38388 42044 63066 73577 126132 147154 220731 294308 378449 441462 756898 882924 1135347 1513796 2270694 2649143 4541388 5298286 7947429 8704327 10596572 15894858 17408654 26112981 31789716 34817308 52225962 60930289 104451924 121860578 172951193 182790867 243721156 345902386 365581734 518853579 691804772 731163468 1037707158 1210658351 2075414316 2421316702 3631975053 3977877439 4842633404 7263950106 7955754878 11933632317 14527900212 15911509756 23867264634 27845142073 47734529268 55690284146 83535426219 111380568292 167070852438 334141704876