Base | Representation |
---|---|
bin | 1101000011111101100100 |
3 | 20102221222112 |
4 | 31003331210 |
5 | 1334032400 |
6 | 201220152 |
7 | 41050541 |
oct | 15037544 |
9 | 6387875 |
10 | 3424100 |
11 | 1a29639 |
12 | 1191658 |
13 | 92b6c4 |
14 | 651bc8 |
15 | 479835 |
hex | 343f64 |
3424100 has 36 divisors (see below), whose sum is σ = 7528164. Its totient is φ = 1351680.
The previous prime is 3424093. The next prime is 3424103. The reversal of 3424100 is 14243.
It can be written as a sum of positive squares in 6 ways, for example, as 155236 + 3268864 = 394^2 + 1808^2 .
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (3424103) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9524 + ... + 9876.
Almost surely, 23424100 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 3424100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3764082).
3424100 is an abundant number, since it is smaller than the sum of its proper divisors (4104064).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3424100 is a wasteful number, since it uses less digits than its factorization.
3424100 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 464 (or 457 counting only the distinct ones).
The product of its (nonzero) digits is 96, while the sum is 14.
The square root of 3424100 is about 1850.4323819043. The cubic root of 3424100 is about 150.7239081670.
Adding to 3424100 its reverse (14243), we get a palindrome (3438343).
The spelling of 3424100 in words is "three million, four hundred twenty-four thousand, one hundred".
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