| Base | Representation |
|---|---|
| bin | 1000001010001… |
| … | …0111000100000 |
| 3 | 2101101122012200 |
| 4 | 2002202320200 |
| 5 | 32230042400 |
| 6 | 3221253200 |
| 7 | 563610300 |
| oct | 202427040 |
| 9 | 71348180 |
| 10 | 34221600 |
| 11 | 18354216 |
| 12 | b564200 |
| 13 | 712268a |
| 14 | 478b600 |
| 15 | 300eb00 |
| hex | 20a2e20 |
34221600 has 324 divisors, whose sum is σ = 141822954. Its totient is φ = 7741440.
The previous prime is 34221599. The next prime is 34221601. The reversal of 34221600 is 612243.
It is a happy number.
34221600 is a `hidden beast` number, since 3 + 42 + 21 + 600 = 666.
It is an interprime number because it is at equal distance from previous prime (34221599) and next prime (34221601).
It can be written as a sum of positive squares in 3 ways, for example, as 24561936 + 9659664 = 4956^2 + 3108^2 .
It is a super-2 number, since 2×342216002 = 2342235813120000, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (34221601) by changing a digit.
It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 352752 + ... + 352848.
Almost surely, 234221600 is an apocalyptic number.
34221600 is a gapful number since it is divisible by the number (30) 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 34221600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70911477).
34221600 is an abundant number, since it is smaller than the sum of its proper divisors (107601354).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
34221600 is a wasteful number, since it uses less digits than its factorization.
34221600 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 137 (or 114 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 18.
The square root of 34221600 is about 5849.9230764173. The cubic root of 34221600 is about 324.6634780980.
Adding to 34221600 its reverse (612243), we get a palindrome (34833843).
The spelling of 34221600 in words is "thirty-four million, two hundred twenty-one thousand, six hundred".
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