Base | Representation |
---|---|
bin | 111111101111… |
… | …1111011000000 |
3 | 2022220001210101 |
4 | 1333133323000 |
5 | 32024014130 |
6 | 3152212144 |
7 | 554043160 |
oct | 177377300 |
9 | 68801711 |
10 | 33423040 |
11 | 17959252 |
12 | b23a054 |
13 | 6c03061 |
14 | 46205a0 |
15 | 2e031ca |
hex | 1fdfec0 |
33423040 has 112 divisors (see below), whose sum is σ = 93341952. Its totient is φ = 11160576.
The previous prime is 33423029. The next prime is 33423041. The reversal of 33423040 is 4032433.
It is a tau number, because it is divible by the number of its divisors (112).
It is a super-2 number, since 2×334230402 = 2234199205683200, which contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 33422999 and 33423017.
It is not an unprimeable number, because it can be changed into a prime (33423041) by changing a digit.
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, 96147 + ... + 96493.
Almost surely, 233423040 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 33423040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46670976).
33423040 is an abundant number, since it is smaller than the sum of its proper divisors (59918912).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
33423040 is a wasteful number, since it uses less digits than its factorization.
33423040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 414 (or 404 counting only the distinct ones).
The product of its (nonzero) digits is 864, while the sum is 19.
The square root of 33423040 is about 5781.2662972743. The cubic root of 33423040 is about 322.1182390507.
Adding to 33423040 its reverse (4032433), we get a palindrome (37455473).
The spelling of 33423040 in words is "thirty-three million, four hundred twenty-three thousand, forty".
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