Base | Representation |
---|---|
bin | 111111101001… |
… | …1111110011010 |
3 | 2022210120200000 |
4 | 1333103332122 |
5 | 32020432411 |
6 | 3151153430 |
7 | 553450413 |
oct | 177237632 |
9 | 68716600 |
10 | 33374106 |
11 | 17925507 |
12 | b215876 |
13 | 6bb69bc |
14 | 460a80a |
15 | 2de3956 |
hex | 1fd3f9a |
33374106 has 48 divisors (see below), whose sum is σ = 76780704. Its totient is φ = 10859184.
The previous prime is 33374101. The next prime is 33374119. The reversal of 33374106 is 60147333.
It is a happy number.
It is a super-2 number, since 2×333741062 = 2227661902598472, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a self number, because there is not a number n which added to its sum of digits gives 33374106.
It is not an unprimeable number, because it can be changed into a prime (33374101) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20100 + ... + 21696.
It is an arithmetic number, because the mean of its divisors is an integer number (1599598).
Almost surely, 233374106 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 33374106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38390352).
33374106 is an abundant number, since it is smaller than the sum of its proper divisors (43406598).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
33374106 is a wasteful number, since it uses less digits than its factorization.
33374106 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1657 (or 1645 counting only the distinct ones).
The product of its (nonzero) digits is 4536, while the sum is 27.
The square root of 33374106 is about 5777.0326293003. The cubic root of 33374106 is about 321.9609599930.
The spelling of 33374106 in words is "thirty-three million, three hundred seventy-four thousand, one hundred six".
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