Base | Representation |
---|---|
bin | 1000001110011… |
… | …0100110101000 |
3 | 2101220201201011 |
4 | 2003212212220 |
5 | 32312431414 |
6 | 3231233304 |
7 | 566144062 |
oct | 203464650 |
9 | 71821634 |
10 | 34498984 |
11 | 18523663 |
12 | b678834 |
13 | 71bba00 |
14 | 4820732 |
15 | 3066dc4 |
hex | 20e69a8 |
34498984 has 96 divisors (see below), whose sum is σ = 79056000. Its totient is φ = 14017536.
The previous prime is 34498973. The next prime is 34498991. The reversal of 34498984 is 48989443.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 436657 + ... + 436735.
It is an arithmetic number, because the mean of its divisors is an integer number (823500).
Almost surely, 234498984 is an apocalyptic number.
34498984 is a gapful number since it is divisible by the number (34) 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 34498984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39528000).
34498984 is an abundant number, since it is smaller than the sum of its proper divisors (44557016).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
34498984 is a wasteful number, since it uses less digits than its factorization.
34498984 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 147 (or 130 counting only the distinct ones).
The product of its digits is 995328, while the sum is 49.
The square root of 34498984 is about 5873.5835739351. The cubic root of 34498984 is about 325.5383078912.
The spelling of 34498984 in words is "thirty-four million, four hundred ninety-eight thousand, nine hundred eighty-four".
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