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30409 = 47647
BaseRepresentation
bin111011011001001
31112201021
413123021
51433114
6352441
7154441
oct73311
945637
1030409
1120935
1215721
1310ac2
14b121
159024
hex76c9

30409 has 4 divisors (see below), whose sum is σ = 31104. Its totient is φ = 29716.

The previous prime is 30403. The next prime is 30427. The reversal of 30409 is 90403.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-30409 is a prime.

It is a Duffinian number.

30409 is a lucky number.

It is a nialpdrome in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 30392 and 30401.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 30409.

It is not an unprimeable number, because it can be changed into a prime (30403) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 277 + ... + 370.

It is an arithmetic number, because the mean of its divisors is an integer number (7776).

230409 is an apocalyptic number.

It is an amenable number.

30409 is a deficient number, since it is larger than the sum of its proper divisors (695).

30409 is an equidigital number, since it uses as much as digits as its factorization.

30409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694.

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 30409 is about 174.3817651017. The cubic root of 30409 is about 31.2128946262.

The spelling of 30409 in words is "thirty thousand, four hundred nine".

Divisors: 1 47 647 30409