Base | Representation |
---|---|
bin | 1000001101010… |
… | …0010011101000 |
3 | 2101202220220110 |
4 | 2003110103220 |
5 | 32303032130 |
6 | 3225454320 |
7 | 565412430 |
oct | 203242350 |
9 | 71686813 |
10 | 34424040 |
11 | 18482322 |
12 | b6413a0 |
13 | 7193871 |
14 | 48012c0 |
15 | 304eab0 |
hex | 20d44e8 |
34424040 has 128 divisors (see below), whose sum is σ = 119439360. Its totient is φ = 7774464.
The previous prime is 34424021. The next prime is 34424041. The reversal of 34424040 is 4042443.
It is a Harshad number since it is a multiple of its sum of digits (21).
It is a junction number, because it is equal to n+sod(n) for n = 34423998 and 34424016.
It is not an unprimeable number, because it can be changed into a prime (34424041) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89689 + ... + 90071.
It is an arithmetic number, because the mean of its divisors is an integer number (933120).
Almost surely, 234424040 is an apocalyptic number.
34424040 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 34424040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59719680).
34424040 is an abundant number, since it is smaller than the sum of its proper divisors (85015320).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
34424040 is a wasteful number, since it uses less digits than its factorization.
34424040 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 511 (or 507 counting only the distinct ones).
The product of its (nonzero) digits is 1536, while the sum is 21.
The square root of 34424040 is about 5867.2003545132. The cubic root of 34424040 is about 325.3024088600.
Adding to 34424040 its reverse (4042443), we get a palindrome (38466483).
The spelling of 34424040 in words is "thirty-four million, four hundred twenty-four thousand, forty".
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