Base | Representation |
---|---|
bin | 11000001100011101010000 |
3 | 102221020020200 |
4 | 120030131100 |
5 | 3110424410 |
6 | 343535200 |
7 | 104624124 |
oct | 30143520 |
9 | 12836220 |
10 | 6342480 |
11 | 3642221 |
12 | 215a500 |
13 | 1410b61 |
14 | bb1584 |
15 | 8543c0 |
hex | 60c750 |
6342480 has 120 divisors (see below), whose sum is σ = 22284288. Its totient is φ = 1613568.
The previous prime is 6342473. The next prime is 6342487. The reversal of 6342480 is 842436.
6342480 is a `hidden beast` number, since 634 + 24 + 8 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (6342473) and next prime (6342487).
It is a tau number, because it is divible by the number of its divisors (120).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (6342487) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16369 + ... + 16751.
Almost surely, 26342480 is an apocalyptic number.
6342480 is a gapful number since it is divisible by the number (60) 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 6342480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11142144).
6342480 is an abundant number, since it is smaller than the sum of its proper divisors (15941808).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
6342480 is a wasteful number, since it uses less digits than its factorization.
6342480 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 425 (or 416 counting only the distinct ones).
The product of its (nonzero) digits is 4608, while the sum is 27.
The square root of 6342480 is about 2518.4280811649. The cubic root of 6342480 is about 185.1056615787.
It can be divided in two parts, 63424 and 80, that added together give a square (63504 = 2522).
The spelling of 6342480 in words is "six million, three hundred forty-two thousand, four hundred eighty".
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