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3341133796 = 22721121310837
BaseRepresentation
bin1100011100100101…
…1010011111100100
322121211221011221011
43013021122133210
523320312240141
61311312032004
7145540111600
oct30711323744
98554834834
103341133796
111464a8a300
12792b32604
13413284c60
14239a46500
151484ca881
hexc725a7e4

3341133796 has 108 divisors (see below), whose sum is σ = 8051962044. Its totient is φ = 1201495680.

The previous prime is 3341133787. The next prime is 3341133827. The reversal of 3341133796 is 6973311433.

It can be written as a sum of positive squares in 2 ways, for example, as 599564196 + 2741569600 = 24486^2 + 52360^2 .

It is a super-2 number, since 2×33411337962 = 22326350085546739232, which contains 22 as substring.

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 35 ways as a sum of consecutive naturals, for example, 302890 + ... + 313726.

Almost surely, 23341133796 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 3341133796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4025981022).

3341133796 is an abundant number, since it is smaller than the sum of its proper divisors (4710828248).

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

3341133796 is a wasteful number, since it uses less digits than its factorization.

3341133796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10890 (or 10870 counting only the distinct ones).

The product of its digits is 122472, while the sum is 40.

The square root of 3341133796 is about 57802.5414320166. The cubic root of 3341133796 is about 1494.9659087762.

It can be divided in two parts, 33411337 and 96, that added together give a palindrome (33411433).

The spelling of 3341133796 in words is "three billion, three hundred forty-one million, one hundred thirty-three thousand, seven hundred ninety-six".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 49 52 77 91 98 121 143 154 182 196 242 286 308 364 484 539 572 637 847 1001 1078 1274 1573 1694 2002 2156 2548 3146 3388 4004 5929 6292 7007 10837 11011 11858 14014 21674 22022 23716 28028 43348 44044 75859 77077 119207 140881 151718 154154 238414 281762 303436 308308 476828 531013 563524 834449 986167 1062026 1311277 1549691 1668898 1972334 2124052 2622554 3099382 3337796 3944668 5245108 5841143 6198764 6903169 9178939 10847837 11682286 13806338 17046601 18357878 21695674 23364572 27612676 34093202 36715756 43391348 64252573 68186404 75934859 119326207 128505146 151869718 238652414 257010292 303739436 477304828 835283449 1670566898 3341133796