Base | Representation |
---|---|
bin | 1000001011110… |
… | …1100101111000 |
3 | 2101121012021112 |
4 | 2002331211320 |
5 | 32242043000 |
6 | 3223455452 |
7 | 564544244 |
oct | 202754570 |
9 | 71535245 |
10 | 34331000 |
11 | 18419430 |
12 | b5b7588 |
13 | 7160402 |
14 | 47b9424 |
15 | 3032235 |
hex | 20bd978 |
34331000 has 64 divisors (see below), whose sum is σ = 87665760. Its totient is φ = 12480000.
The previous prime is 34330999. The next prime is 34331023. The reversal of 34331000 is 13343.
It is a happy number.
34331000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×343310002 = 2357235122000000, which contains 22 as substring.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9440 + ... + 12560.
Almost surely, 234331000 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 34331000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43832880).
34331000 is an abundant number, since it is smaller than the sum of its proper divisors (53334760).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
34331000 is a wasteful number, since it uses less digits than its factorization.
34331000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3153 (or 3139 counting only the distinct ones).
The product of its (nonzero) digits is 108, while the sum is 14.
The square root of 34331000 is about 5859.2661656559. The cubic root of 34331000 is about 325.0090727250.
Adding to 34331000 its reverse (13343), we get a palindrome (34344343).
The spelling of 34331000 in words is "thirty-four million, three hundred thirty-one thousand".
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