Base | Representation |
---|---|
bin | 1101000011111100100000 |
3 | 20102221220000 |
4 | 31003330200 |
5 | 1334032112 |
6 | 201220000 |
7 | 41050413 |
oct | 15037440 |
9 | 6387800 |
10 | 3424032 |
11 | 1a29587 |
12 | 1191600 |
13 | 92b671 |
14 | 651b7a |
15 | 4797dc |
hex | 343f20 |
3424032 has 60 divisors (see below), whose sum is σ = 10077606. Its totient is φ = 1140480.
The previous prime is 3424019. The next prime is 3424037. The reversal of 3424032 is 2304243.
It can be written as a sum of positive squares in only one way, i.e., 2178576 + 1245456 = 1476^2 + 1116^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 3423996 and 3424014.
It is not an unprimeable number, because it can be changed into a prime (3424037) by changing a digit.
It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1932 + ... + 3252.
Almost surely, 23424032 is an apocalyptic number.
3424032 is a gapful number since it is divisible by the number (32) 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 3424032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5038803).
3424032 is an abundant number, since it is smaller than the sum of its proper divisors (6653574).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3424032 is a wasteful number, since it uses less digits than its factorization.
3424032 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1343 (or 1326 counting only the distinct ones).
The product of its (nonzero) digits is 576, while the sum is 18.
The square root of 3424032 is about 1850.4140077291. The cubic root of 3424032 is about 150.7229104067.
Adding to 3424032 its reverse (2304243), we get a palindrome (5728275).
The spelling of 3424032 in words is "three million, four hundred twenty-four thousand, thirty-two".
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