Base | Representation |
---|---|
bin | 1000000111001… |
… | …0011000000100 |
3 | 2101000112200000 |
4 | 2001302120010 |
5 | 32202213131 |
6 | 3213121300 |
7 | 562122114 |
oct | 201623004 |
9 | 71015600 |
10 | 34022916 |
11 | 18228a14 |
12 | b489230 |
13 | 7083105 |
14 | 4739044 |
15 | 2ec0ce6 |
hex | 2072604 |
34022916 has 144 divisors (see below), whose sum is σ = 99066240. Its totient is φ = 10160640.
The previous prime is 34022909. The next prime is 34022917. The reversal of 34022916 is 61922043.
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 34022916.
It is not an unprimeable number, because it can be changed into a prime (34022917) 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, 479161 + ... + 479231.
It is an arithmetic number, because the mean of its divisors is an integer number (687960).
Almost surely, 234022916 is an apocalyptic number.
34022916 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 34022916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49533120).
34022916 is an abundant number, since it is smaller than the sum of its proper divisors (65043324).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
34022916 is a wasteful number, since it uses less digits than its factorization.
34022916 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 136 (or 122 counting only the distinct ones).
The product of its (nonzero) digits is 2592, while the sum is 27.
The square root of 34022916 is about 5832.9165946377. The cubic root of 34022916 is about 324.0339470604.
Adding to 34022916 its reverse (61922043), we get a palindrome (95944959).
The spelling of 34022916 in words is "thirty-four million, twenty-two thousand, nine hundred sixteen".
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