Base | Representation |
---|---|
bin | 11111110111110011… |
… | …110110100101011000 |
3 | 10021100000100210221200 |
4 | 133313303312211120 |
5 | 1030041404230334 |
6 | 23415503234200 |
7 | 2321030026230 |
oct | 376763664530 |
9 | 107300323850 |
10 | 34222336344 |
11 | 135716868a9 |
12 | 6770ba8960 |
13 | 32c5091781 |
14 | 1929116cc0 |
15 | d5466b799 |
hex | 7f7cf6958 |
34222336344 has 96 divisors (see below), whose sum is σ = 107377439520. Its totient is φ = 9643857408.
The previous prime is 34222336307. The next prime is 34222336361. The reversal of 34222336344 is 44363322243.
34222336344 is a `hidden beast` number, since 34 + 2 + 223 + 363 + 44 = 666.
It is a super-4 number, since 4×342223363444 (a number of 43 digits) contains 4444 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
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 = 34222336299 and 34222336308.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 428287 + ... + 501870.
It is an arithmetic number, because the mean of its divisors is an integer number (1118514995).
Almost surely, 234222336344 is an apocalyptic number.
It is an amenable number.
34222336344 is an abundant number, since it is smaller than the sum of its proper divisors (73155103176).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
34222336344 is a wasteful number, since it uses less digits than its factorization.
34222336344 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 930249 (or 930242 counting only the distinct ones).
The product of its digits is 248832, while the sum is 36.
Adding to 34222336344 its reverse (44363322243), we get a palindrome (78585658587).
The spelling of 34222336344 in words is "thirty-four billion, two hundred twenty-two million, three hundred thirty-six thousand, three hundred forty-four".
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