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214434 = 23311192
BaseRepresentation
bin110100010110100010
3101220011000
4310112202
523330214
64332430
71552113
oct642642
9356130
10214434
11137120
12a4116
13767ac
145820a
1543809
hex345a2

214434 has 48 divisors (see below), whose sum is σ = 548640. Its totient is φ = 61560.

The previous prime is 214433. The next prime is 214439. The reversal of 214434 is 434412.

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

It is not an unprimeable number, because it can be changed into a prime (214433) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11277 + ... + 11295.

It is an arithmetic number, because the mean of its divisors is an integer number (11430).

2214434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274320).

214434 is an abundant number, since it is smaller than the sum of its proper divisors (334206).

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

214434 is a wasteful number, since it uses less digits than its factorization.

214434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 35 counting only the distinct ones).

The product of its digits is 384, while the sum is 18.

The square root of 214434 is about 463.0701890642. The cubic root of 214434 is about 59.8546481651.

Adding to 214434 its reverse (434412), we get a palindrome (648846).

The spelling of 214434 in words is "two hundred fourteen thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 19 22 27 33 38 54 57 66 99 114 171 198 209 297 342 361 418 513 594 627 722 1026 1083 1254 1881 2166 3249 3762 3971 5643 6498 7942 9747 11286 11913 19494 23826 35739 71478 107217 214434