Base | Representation |
---|---|
bin | 1000001000110… |
… | …0100110010010 |
3 | 2101020000000000 |
4 | 2002030212102 |
5 | 32214132242 |
6 | 3215310430 |
7 | 563050212 |
oct | 202144622 |
9 | 71200000 |
10 | 34130322 |
11 | 182a1686 |
12 | b51b416 |
13 | 70bcc75 |
14 | 4766242 |
15 | 2ee2a4c |
hex | 208c992 |
34130322 has 66 divisors (see below), whose sum is σ = 81575733. Its totient is φ = 10707552.
The previous prime is 34130311. The next prime is 34130329. The reversal of 34130322 is 22303143.
34130322 is a `hidden beast` number, since 341 + 3 + 0 + 322 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 31236921 + 2893401 = 5589^2 + 1701^2 .
It is an ABA number since it can be written as A⋅BA, here for A=2, B=4131.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 34130295 and 34130304.
It is not an unprimeable number, because it can be changed into a prime (34130329) by changing a digit.
It is a polite number, since it can be written in 32 ways as a sum of consecutive naturals, for example, 2007658 + ... + 2007674.
Almost surely, 234130322 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 34130322
34130322 is an abundant number, since it is smaller than the sum of its proper divisors (47445411).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
34130322 is an frugal number, since it uses more digits than its factorization.
34130322 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 66 (or 22 counting only the distinct ones).
The product of its (nonzero) digits is 432, while the sum is 18.
The square root of 34130322 is about 5842.1162261633. The cubic root of 34130322 is about 324.3745668075.
Multiplying 34130322 by its sum of digits (18), we get a square (614345796 = 247862).
34130322 divided by its sum of digits (18) gives a square (1896129 = 13772).
Adding to 34130322 its reverse (22303143), we get a palindrome (56433465).
The spelling of 34130322 in words is "thirty-four million, one hundred thirty thousand, three hundred twenty-two".
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