Base | Representation |
---|---|
bin | 111110111100… |
… | …0101001011110 |
3 | 2022002120112100 |
4 | 1331320221132 |
5 | 31422000110 |
6 | 3135145530 |
7 | 550332000 |
oct | 175705136 |
9 | 68076470 |
10 | 33000030 |
11 | 1769a458 |
12 | b0752a6 |
13 | 6ab565b |
14 | 4550370 |
15 | 2d6cbc0 |
hex | 1f78a5e |
33000030 has 96 divisors (see below), whose sum is σ = 100152000. Its totient is φ = 7535808.
The previous prime is 33000029. The next prime is 33000031. The reversal of 33000030 is 3000033.
It is an interprime number because it is at equal distance from previous prime (33000029) and next prime (33000031).
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.
It is a junction number, because it is equal to n+sod(n) for n = 32999976 and 33000021.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (33000031) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30336 + ... + 31404.
It is an arithmetic number, because the mean of its divisors is an integer number (1043250).
Almost surely, 233000030 is an apocalyptic number.
33000030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 33000030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50076000).
33000030 is an abundant number, since it is smaller than the sum of its proper divisors (67151970).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
33000030 is a wasteful number, since it uses less digits than its factorization.
33000030 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1103 (or 1086 counting only the distinct ones).
The product of its (nonzero) digits is 27, while the sum is 9.
The square root of 33000030 is about 5744.5652577023. The cubic root of 33000030 is about 320.7535301976.
Adding to 33000030 its reverse (3000033), we get a palindrome (36000063).
The spelling of 33000030 in words is "thirty-three million, thirty", and thus it is an aban number and an uban number.
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