Search a number
-
+
434214 = 233111743
BaseRepresentation
bin1101010000000100110
3211001122000
41222000212
5102343324
613150130
73455634
oct1520046
9731560
10434214
11277260
1218b346
13122841
14b4354
15889c9
hex6a026

434214 has 64 divisors (see below), whose sum is σ = 1140480. Its totient is φ = 120960.

The previous prime is 434209. The next prime is 434221. The reversal of 434214 is 412434.

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 434214.

It is an unprimeable 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 31 ways as a sum of consecutive naturals, for example, 10077 + ... + 10119.

It is an arithmetic number, because the mean of its divisors is an integer number (17820).

2434214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570240).

434214 is an abundant number, since it is smaller than the sum of its proper divisors (706266).

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

434214 is a wasteful number, since it uses less digits than its factorization.

434214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 76 counting only the distinct ones).

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

The square root of 434214 is about 658.9491634413. The cubic root of 434214 is about 75.7241849099.

Adding to 434214 its reverse (412434), we get a palindrome (846648).

It can be divided in two parts, 4342 and 14, that added together give a square (4356 = 662).

The spelling of 434214 in words is "four hundred thirty-four thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 11 17 18 22 27 33 34 43 51 54 66 86 99 102 129 153 187 198 258 297 306 374 387 459 473 561 594 731 774 918 946 1122 1161 1419 1462 1683 2193 2322 2838 3366 4257 4386 5049 6579 8041 8514 10098 12771 13158 16082 19737 24123 25542 39474 48246 72369 144738 217107 434214