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214308 = 22325953
BaseRepresentation
bin110100010100100100
3101212222100
4310110210
523324213
64332100
71551543
oct642444
9355870
10214308
11137016
12a4030
1376713
145815a
1543773
hex34524

214308 has 18 divisors (see below), whose sum is σ = 541814. Its totient is φ = 71424.

The previous prime is 214297. The next prime is 214309. The reversal of 214308 is 803412.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 116964 + 97344 = 342^2 + 312^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a nialpdrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (214309) by changing a digit.

214308 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 5 ways as a sum of consecutive naturals, for example, 2941 + ... + 3012.

2214308 is an apocalyptic number.

It is an amenable number.

214308 is an abundant number, since it is smaller than the sum of its proper divisors (327506).

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

214308 is a wasteful number, since it uses less digits than its factorization.

214308 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5963 (or 5958 counting only the distinct ones).

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

The square root of 214308 is about 462.9341205830. The cubic root of 214308 is about 59.8429224697.

The spelling of 214308 in words is "two hundred fourteen thousand, three hundred eight".

Divisors: 1 2 3 4 6 9 12 18 36 5953 11906 17859 23812 35718 53577 71436 107154 214308