Base | Representation |
---|---|
bin | 1000001101011… |
… | …0110100100110 |
3 | 2101210110001000 |
4 | 2003112310212 |
5 | 32303344332 |
6 | 3230014130 |
7 | 565454445 |
oct | 203266446 |
9 | 71713030 |
10 | 34434342 |
11 | 1848a038 |
12 | b647346 |
13 | 7198467 |
14 | 4804d5c |
15 | 3052b7c |
hex | 20d6d26 |
34434342 has 64 divisors (see below), whose sum is σ = 79672320. Its totient is φ = 11016000.
The previous prime is 34434341. The next prime is 34434343. The reversal of 34434342 is 24343443.
It is an interprime number because it is at equal distance from previous prime (34434341) and next prime (34434343).
It is a super-3 number, since 3×344343423 (a number of 24 digits) contains 333 as substring.
It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (34434341) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 227967 + ... + 228117.
It is an arithmetic number, because the mean of its divisors is an integer number (1244880).
Almost surely, 234434342 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 34434342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39836160).
34434342 is an abundant number, since it is smaller than the sum of its proper divisors (45237978).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
34434342 is a wasteful number, since it uses less digits than its factorization.
34434342 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 306 (or 300 counting only the distinct ones).
The product of its digits is 13824, while the sum is 27.
The square root of 34434342 is about 5868.0782203376. The cubic root of 34434342 is about 325.3348564476.
Adding to 34434342 its reverse (24343443), we get a palindrome (58777785).
The spelling of 34434342 in words is "thirty-four million, four hundred thirty-four thousand, three hundred forty-two".
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