Base | Representation |
---|---|
bin | 111111110000… |
… | …1100111111100 |
3 | 2022220102100121 |
4 | 1333201213330 |
5 | 32024230022 |
6 | 3152304324 |
7 | 554102410 |
oct | 177414774 |
9 | 68812317 |
10 | 33430012 |
11 | 17963510 |
12 | b2420a4 |
13 | 6c06295 |
14 | 4622d40 |
15 | 2e052c7 |
hex | 1fe19fc |
33430012 has 48 divisors (see below), whose sum is σ = 73382400. Its totient is φ = 12945600.
The previous prime is 33429967. The next prime is 33430027. The reversal of 33430012 is 21003433.
It is a super-2 number, since 2×334300122 = 2235131404640288, which contains 22 as substring.
It is a zygodrome in base 2.
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, 95614 + ... + 95962.
It is an arithmetic number, because the mean of its divisors is an integer number (1528800).
Almost surely, 233430012 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 33430012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36691200).
33430012 is an abundant number, since it is smaller than the sum of its proper divisors (39952388).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
33430012 is a wasteful number, since it uses less digits than its factorization.
33430012 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 682 (or 680 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 16.
The square root of 33430012 is about 5781.8692479163. The cubic root of 33430012 is about 322.1406353002.
Adding to 33430012 its reverse (21003433), we get a palindrome (54433445).
The spelling of 33430012 in words is "thirty-three million, four hundred thirty thousand, twelve".
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