| Base | Representation |
|---|---|
| bin | 11001001110100… |
| … | …000001110010000 |
| 3 | 1002111101102201002 |
| 4 | 121032200032100 |
| 5 | 1331321414100 |
| 6 | 105555201132 |
| 7 | 13326262463 |
| oct | 3116401620 |
| 9 | 1074342632 |
| 10 | 423232400 |
| 11 | 1a79a3848 |
| 12 | b98a61a8 |
| 13 | 698b7096 |
| 14 | 402d12da |
| 15 | 272522d5 |
| hex | 193a0390 |
423232400 has 60 divisors (see below), whose sum is σ = 1018817604. Its totient is φ = 168960000.
The previous prime is 423232379. The next prime is 423232427. The reversal of 423232400 is 4232324.
It can be written as a sum of positive squares in 6 ways, for example, as 171819664 + 251412736 = 13108^2 + 15856^2 .
It is a Harshad number since it is a multiple of its sum of digits (20).
It is a congruent number.
It is an unprimeable number.
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 11 ways as a sum of consecutive naturals, for example, 351800 + ... + 353000.
Almost surely, 2423232400 is an apocalyptic number.
423232400 is a gapful number since it is divisible by the number (40) 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 423232400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509408802).
423232400 is an abundant number, since it is smaller than the sum of its proper divisors (595585204).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
423232400 is a wasteful number, since it uses less digits than its factorization.
423232400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2100 (or 2089 counting only the distinct ones).
The product of its (nonzero) digits is 1152, while the sum is 20.
The square root of 423232400 is about 20572.6128627357. The cubic root of 423232400 is about 750.8035240100.
Adding to 423232400 its reverse (4232324), we get a palindrome (427464724).
423232400 divided by its reverse (4232324) gives a square (100 = 102).
It can be divided in two parts, 4 and 23232400, that multiplied together give a square (92929600 = 96402).
The spelling of 423232400 in words is "four hundred twenty-three million, two hundred thirty-two thousand, four hundred".
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