Base | Representation |
---|---|
bin | 1000001011100… |
… | …1011111100010 |
3 | 2101120100020200 |
4 | 2002321133202 |
5 | 32241023320 |
6 | 3223250030 |
7 | 564444300 |
oct | 202713742 |
9 | 71510220 |
10 | 34314210 |
11 | 18407857 |
12 | b5a9916 |
13 | 7155888 |
14 | 47b3270 |
15 | 302c290 |
hex | 20b97e2 |
34314210 has 144 divisors (see below), whose sum is σ = 107557632. Its totient is φ = 7560000.
The previous prime is 34314199. The next prime is 34314227. The reversal of 34314210 is 1241343.
34314210 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 136585 + ... + 136835.
It is an arithmetic number, because the mean of its divisors is an integer number (746928).
Almost surely, 234314210 is an apocalyptic number.
34314210 is a gapful number since it is divisible by the number (30) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 34314210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53778816).
34314210 is an abundant number, since it is smaller than the sum of its proper divisors (73243422).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
34314210 is a wasteful number, since it uses less digits than its factorization.
34314210 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 309 (or 299 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 18.
The square root of 34314210 is about 5857.8332171546. The cubic root of 34314210 is about 324.9560808502.
Adding to 34314210 its reverse (1241343), we get a palindrome (35555553).
The spelling of 34314210 in words is "thirty-four million, three hundred fourteen thousand, two hundred ten".
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