Base | Representation |
---|---|
bin | 1000001111000… |
… | …1001101010100 |
3 | 2101222221021220 |
4 | 2003301031110 |
5 | 32320324140 |
6 | 3232210340 |
7 | 566414523 |
oct | 203611524 |
9 | 71887256 |
10 | 34542420 |
11 | 18553260 |
12 | b6999b0 |
13 | 7205703 |
14 | 48324ba |
15 | 3074bd0 |
hex | 20f1354 |
34542420 has 96 divisors (see below), whose sum is σ = 106444800. Its totient is φ = 8300160.
The previous prime is 34542383. The next prime is 34542421. The reversal of 34542420 is 2424543.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (34542421) by changing a digit.
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 31 ways as a sum of consecutive naturals, for example, 131209 + ... + 131471.
It is an arithmetic number, because the mean of its divisors is an integer number (1108800).
Almost surely, 234542420 is an apocalyptic number.
34542420 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 34542420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53222400).
34542420 is an abundant number, since it is smaller than the sum of its proper divisors (71902380).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
34542420 is a wasteful number, since it uses less digits than its factorization.
34542420 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 485 (or 483 counting only the distinct ones).
The product of its (nonzero) digits is 3840, while the sum is 24.
The square root of 34542420 is about 5877.2799831214. The cubic root of 34542420 is about 325.6748737653.
Adding to 34542420 its reverse (2424543), we get a palindrome (36966963).
The spelling of 34542420 in words is "thirty-four million, five hundred forty-two thousand, four hundred twenty".
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