Search a number
BaseRepresentation
bin110101100110
311201001
4311212
5102210
623514
713000
oct6546
94631
103430
112639
121b9a
13173b
141370
15103a
hexd66

3430 has 16 divisors (see below), whose sum is σ = 7200. Its totient is φ = 1176.

The previous prime is 3413. The next prime is 3433. The reversal of 3430 is 343.

3430 divided by its sum of digits (10) gives a palindrome (343).

Adding to 3430 its reverse (343), we get a palindrome (3773).

It can be divided in two parts, 34 and 30, that added together give a 6-th power (64 = 26).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an alternating number because its digits alternate between odd and even.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3433) by changing a digit.

3430 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 7 ways as a sum of consecutive naturals, for example, 487 + ... + 493.

It is an arithmetic number, because the mean of its divisors is an integer number (450).

23430 is an apocalyptic number.

3430 is an abundant number, since it is smaller than the sum of its proper divisors (3770).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3600).

3430 is an equidigital number, since it uses as much as digits as its factorization.

3430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 10.

The square root of 3430 is about 58.5662018574. The cubic root of 3430 is about 15.0810428302.

The spelling of 3430 in words is "three thousand, four hundred thirty".

Divisors: 1 2 5 7 10 14 35 49 70 98 245 343 490 686 1715 3430