Base | Representation |
---|---|
bin | 1000000111011… |
… | …0100011000000 |
3 | 2101001102002202 |
4 | 2001312203000 |
5 | 32203240000 |
6 | 3213332332 |
7 | 562222661 |
oct | 201664300 |
9 | 71042082 |
10 | 34040000 |
11 | 1823a835 |
12 | b4970a8 |
13 | 708ab17 |
14 | 4741368 |
15 | 2ec5dd5 |
hex | 20768c0 |
34040000 has 140 divisors (see below), whose sum is σ = 90458544. Its totient is φ = 12672000.
The previous prime is 34039987. The next prime is 34040003. The reversal of 34040000 is 4043.
It is not an unprimeable number, because it can be changed into a prime (34040003) by changing a digit.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 919982 + ... + 920018.
Almost surely, 234040000 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 34040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45229272).
34040000 is an abundant number, since it is smaller than the sum of its proper divisors (56418544).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
34040000 is an equidigital number, since it uses as much as digits as its factorization.
34040000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 92 (or 67 counting only the distinct ones).
The product of its (nonzero) digits is 48, while the sum is 11.
The square root of 34040000 is about 5834.3808583259. The cubic root of 34040000 is about 324.0881739393.
Adding to 34040000 its reverse (4043), we get a palindrome (34044043).
The spelling of 34040000 in words is "thirty-four million, forty thousand", and thus it is an eban number.
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