Base | Representation |
---|---|
bin | 1101000101011001110000 |
3 | 20110021002001 |
4 | 31011121300 |
5 | 1334230000 |
6 | 201303344 |
7 | 41104000 |
oct | 15053160 |
9 | 6407061 |
10 | 3430000 |
11 | 1a33012 |
12 | 1194b54 |
13 | 9312b2 |
14 | 654000 |
15 | 47b46a |
hex | 345670 |
3430000 has 100 divisors (see below), whose sum is σ = 9684400. Its totient is φ = 1176000.
The previous prime is 3429989. The next prime is 3430027. The reversal of 3430000 is 343.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It is a tau number, because it is divible by the number of its divisors (100).
It is a Harshad number since it is a multiple of its sum of digits (10).
It is a nialpdrome in base 14.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 489997 + ... + 490003.
It is an arithmetic number, because the mean of its divisors is an integer number (96844).
Almost surely, 23430000 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 3430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4842200).
3430000 is an abundant number, since it is smaller than the sum of its proper divisors (6254400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3430000 is an frugal number, since it uses more digits than its factorization.
3430000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 49 (or 14 counting only the distinct ones).
The product of its (nonzero) digits is 36, while the sum is 10.
The square root of 3430000 is about 1852.0259177452. The cubic root of 3430000 is about 150.8104283022.
3430000 divided by its sum of digits (10) gives a cube (343000 = 703).
Adding to 3430000 its reverse (343), we get a palindrome (3430343).
Multiplying 3430000 by its reverse (343), we get a square (1176490000 = 343002).
3430000 divided by its reverse (343) gives a 4-th power (10000 = 104).
The spelling of 3430000 in words is "three million, four hundred thirty thousand".
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