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300409 = 1997163
BaseRepresentation
bin1001001010101111001
3120021002021
41021111321
534103114
610234441
72360554
oct1112571
9507067
10300409
1119577a
12125a21
13a6975
147b69b
155e024
hex49579

300409 has 8 divisors (see below), whose sum is σ = 321440. Its totient is φ = 279936.

The previous prime is 300397. The next prime is 300413. The reversal of 300409 is 904003.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a 7-Lehmer number, since φ(300409) divides (300409-1)7.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-300409 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 300392 and 300401.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 300409.

It is not an unprimeable number, because it can be changed into a prime (300439) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1762 + ... + 1924.

It is an arithmetic number, because the mean of its divisors is an integer number (40180).

2300409 is an apocalyptic number.

It is an amenable number.

300409 is a deficient number, since it is larger than the sum of its proper divisors (21031).

300409 is a wasteful number, since it uses less digits than its factorization.

300409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279.

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

The square root of 300409 is about 548.0957945469. The cubic root of 300409 is about 66.9737032021.

The spelling of 300409 in words is "three hundred thousand, four hundred nine".

Divisors: 1 19 97 163 1843 3097 15811 300409