Base | Representation |
---|---|
bin | 11001010010000… |
… | …101001111000000 |
3 | 1002120011002110000 |
4 | 121102011033000 |
5 | 1332041423212 |
6 | 110031240000 |
7 | 13340250330 |
oct | 3122051700 |
9 | 1076132400 |
10 | 424170432 |
11 | 1a8484584 |
12 | ba079000 |
13 | 69b5502a |
14 | 404970c0 |
15 | 2738a1dc |
hex | 194853c0 |
424170432 has 140 divisors (see below), whose sum is σ = 1437121840. Its totient is φ = 121181184.
The previous prime is 424170431. The next prime is 424170433. The reversal of 424170432 is 234071424.
It is an interprime number because it is at equal distance from previous prime (424170431) and next prime (424170433).
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a junction number, because it is equal to n+sod(n) for n = 424170396 and 424170405.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (424170431) 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 19 ways as a sum of consecutive naturals, for example, 30444 + ... + 42132.
It is an arithmetic number, because the mean of its divisors is an integer number (10265156).
Almost surely, 2424170432 is an apocalyptic number.
424170432 is a gapful number since it is divisible by the number (42) 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 424170432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718560920).
424170432 is an abundant number, since it is smaller than the sum of its proper divisors (1012951408).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
424170432 is a wasteful number, since it uses less digits than its factorization.
424170432 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 11720 (or 11701 counting only the distinct ones).
The product of its (nonzero) digits is 5376, while the sum is 27.
The square root of 424170432 is about 20595.3983209842. The cubic root of 424170432 is about 751.3577963686.
The spelling of 424170432 in words is "four hundred twenty-four million, one hundred seventy thousand, four hundred thirty-two".
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