| Base | Representation |
|---|---|
| bin | 1000000111001… |
| … | …0001010000000 |
| 3 | 2101000111102200 |
| 4 | 2001302022000 |
| 5 | 32202201031 |
| 6 | 3213113200 |
| 7 | 562116360 |
| oct | 201621200 |
| 9 | 71014380 |
| 10 | 34022016 |
| 11 | 18228276 |
| 12 | b488800 |
| 13 | 7082892 |
| 14 | 47389a0 |
| 15 | 2ec08e6 |
| hex | 2072280 |
34022016 has 96 divisors (see below), whose sum is σ = 111914400. Its totient is φ = 9718272.
The previous prime is 34022011. The next prime is 34022029. The reversal of 34022016 is 61022043.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (96).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a self number, because there is not a number n which added to its sum of digits gives 34022016.
It is not an unprimeable number, because it can be changed into a prime (34022011) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5955 + ... + 10173.
It is an arithmetic number, because the mean of its divisors is an integer number (1165775).
Almost surely, 234022016 is an apocalyptic number.
34022016 is a gapful number since it is divisible by the number (36) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 34022016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55957200).
34022016 is an abundant number, since it is smaller than the sum of its proper divisors (77892384).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
34022016 is a wasteful number, since it uses less digits than its factorization.
34022016 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4246 (or 4231 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 18.
The square root of 34022016 is about 5832.8394457588. The cubic root of 34022016 is about 324.0310898379.
Adding to 34022016 its reverse (61022043), we get a palindrome (95044059).
The spelling of 34022016 in words is "thirty-four million, twenty-two thousand, sixteen".
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