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218034 = 23212113
BaseRepresentation
bin110101001110110010
3102002002100
4311032302
523434114
64401230
71565445
oct651662
9362070
10218034
111398a3
12a6216
137831b
145965c
1544909
hex353b2

218034 has 12 divisors (see below), whose sum is σ = 472446. Its totient is φ = 72672.

The previous prime is 218021. The next prime is 218047. The reversal of 218034 is 430812.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (218021) and next prime (218047).

It can be written as a sum of positive squares in only one way, i.e., 199809 + 18225 = 447^2 + 135^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 12113 = 218034 / (2 + 1 + 8 + 0 + 3 + 4).

It is a junction number, because it is equal to n+sod(n) for n = 217998 and 218016.

It is an unprimeable number.

218034 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6039 + ... + 6074.

2218034 is an apocalyptic number.

218034 is an abundant number, since it is smaller than the sum of its proper divisors (254412).

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

218034 is a wasteful number, since it uses less digits than its factorization.

218034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12121 (or 12118 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 218034 is about 466.9411097772. The cubic root of 218034 is about 60.1877452493.

Adding to 218034 its reverse (430812), we get a palindrome (648846).

The spelling of 218034 in words is "two hundred eighteen thousand, thirty-four".

Divisors: 1 2 3 6 9 18 12113 24226 36339 72678 109017 218034