| Base | Representation |
|---|---|
| bin | 1110101000001001000000 |
| 3 | 21012210212000 |
| 4 | 32220021000 |
| 5 | 1440200212 |
| 6 | 214104000 |
| 7 | 44410050 |
| oct | 16501100 |
| 9 | 7183760 |
| 10 | 3834432 |
| 11 | 2189958 |
| 12 | 134b000 |
| 13 | a433c4 |
| 14 | 71b560 |
| 15 | 50b1dc |
| hex | 3a8240 |
3834432 has 112 divisors (see below), whose sum is σ = 12923520. Its totient is φ = 1092096.
The previous prime is 3834431. The next prime is 3834433. The reversal of 3834432 is 2344383.
It is an interprime number because it is at equal distance from previous prime (3834431) and next prime (3834433).
It is a tau number, because it is divible by the number of its divisors (112).
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 3834396 and 3834405.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (3834431) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11938 + ... + 12254.
Almost surely, 23834432 is an apocalyptic number.
3834432 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 3834432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6461760).
3834432 is an abundant number, since it is smaller than the sum of its proper divisors (9089088).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3834432 is a wasteful number, since it uses less digits than its factorization.
3834432 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 345 (or 329 counting only the distinct ones).
The product of its digits is 6912, while the sum is 27.
The square root of 3834432 is about 1958.1705747968. The cubic root of 3834432 is about 156.5189815939.
The spelling of 3834432 in words is "three million, eight hundred thirty-four thousand, four hundred thirty-two".
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