Search a number
-
+
430452 = 2232111087
BaseRepresentation
bin1101001000101110100
3210212110200
41221011310
5102233302
613120500
73441651
oct1510564
9725420
10430452
11274450
12189130
13120c09
14b2c28
158781c
hex69174

430452 has 36 divisors (see below), whose sum is σ = 1188096. Its totient is φ = 130320.

The previous prime is 430433. The next prime is 430453. The reversal of 430452 is 254034.

It is a happy number.

430452 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (430453) by changing a digit.

430452 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 11 ways as a sum of consecutive naturals, for example, 148 + ... + 939.

2430452 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 430452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594048).

430452 is an abundant number, since it is smaller than the sum of its proper divisors (757644).

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

430452 is a wasteful number, since it uses less digits than its factorization.

430452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1108 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 430452 is about 656.0884086768. The cubic root of 430452 is about 75.5048605850.

Adding to 430452 its reverse (254034), we get a palindrome (684486).

It can be divided in two parts, 4304 and 52, that added together give a square (4356 = 662).

The spelling of 430452 in words is "four hundred thirty thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 1087 2174 3261 4348 6522 9783 11957 13044 19566 23914 35871 39132 47828 71742 107613 143484 215226 430452