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3433242244344 = 2331123565421977
BaseRepresentation
bin110001111101011101001…
…011110011010011111000
3110011012210112222121220220
4301331131023303103320
5422222240003304334
611145113144220040
7503020641400263
oct61753513632370
913135715877826
103433242244344
111104036819290
12475475a6a620
131bb9a41730c3
14bc253d67cda
155e48e70b449
hex31f5d2f34f8

3433242244344 has 64 divisors (see below), whose sum is σ = 9770491779840. Its totient is φ = 995142677760.

The previous prime is 3433242244343. The next prime is 3433242244357. The reversal of 3433242244344 is 4434422423343.

It is a super-3 number, since 3×34332422443443 (a number of 39 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 3433242244296 and 3433242244305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3433242244343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 282704917 + ... + 282717060.

It is an arithmetic number, because the mean of its divisors is an integer number (152663934060).

Almost surely, 23433242244344 is an apocalyptic number.

It is an amenable number.

3433242244344 is an abundant number, since it is smaller than the sum of its proper divisors (6337249535496).

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

3433242244344 is a wasteful number, since it uses less digits than its factorization.

3433242244344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565422020 (or 565422016 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 42.

Adding to 3433242244344 its reverse (4434422423343), we get a palindrome (7867664667687).

The spelling of 3433242244344 in words is "three trillion, four hundred thirty-three billion, two hundred forty-two million, two hundred forty-four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 23 24 33 44 46 66 69 88 92 132 138 184 253 264 276 506 552 759 1012 1518 2024 3036 6072 565421977 1130843954 1696265931 2261687908 3392531862 4523375816 6219641747 6785063724 12439283494 13004705471 13570127448 18658925241 24878566988 26009410942 37317850482 39014116413 49757133976 52018821884 74635700964 78028232826 104037643768 143051760181 149271401928 156056465652 286103520362 312112931304 429155280543 572207040724 858310561086 1144414081448 1716621122172 3433242244344