Base | Representation |
---|---|
bin | 1100011100111001… |
… | …1001111111000000 |
3 | 22121221101200001011 |
4 | 3013032121333000 |
5 | 23321131124212 |
6 | 1311400050304 |
7 | 145554202060 |
oct | 30716317700 |
9 | 8557350034 |
10 | 3342442432 |
11 | 14657a351a |
12 | 793463994 |
13 | 4136227b4 |
14 | 239ca73a0 |
15 | 1486884a7 |
hex | c7399fc0 |
3342442432 has 112 divisors (see below), whose sum is σ = 7950159360. Its totient is φ = 1363203072.
The previous prime is 3342442429. The next prime is 3342442457. The reversal of 3342442432 is 2342442433.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (112).
It is a super-2 number, since 2×33424424322 = 22343842822468149248, which contains 22 as substring.
It is a zygodrome in base 2.
It is a junction number, because it is equal to n+sod(n) for n = 3342442394 and 3342442403.
It is a congruent number.
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 15 ways as a sum of consecutive naturals, for example, 2338294 + ... + 2339722.
Almost surely, 23342442432 is an apocalyptic number.
3342442432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 3342442432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3975079680).
3342442432 is an abundant number, since it is smaller than the sum of its proper divisors (4607716928).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3342442432 is a wasteful number, since it uses less digits than its factorization.
3342442432 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1698 (or 1688 counting only the distinct ones).
The product of its digits is 55296, while the sum is 31.
The square root of 3342442432 is about 57813.8602067013. The cubic root of 3342442432 is about 1495.1610631721.
Adding to 3342442432 its reverse (2342442433), we get a palindrome (5684884865).
Subtracting from 3342442432 its reverse (2342442433), we obtain a palindrome (999999999).
The spelling of 3342442432 in words is "three billion, three hundred forty-two million, four hundred forty-two thousand, four hundred thirty-two".
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