Search a number
-
+
430326 = 23313613
BaseRepresentation
bin1101001000011110110
3210212022000
41221003312
5102232301
613120130
73441411
oct1510366
9725260
10430326
11274346
12189046
13120b40
14b2b78
1587786
hex690f6

430326 has 32 divisors (see below), whose sum is σ = 1031520. Its totient is φ = 132192.

The previous prime is 430319. The next prime is 430333. The reversal of 430326 is 623034.

It is an interprime number because it is at equal distance from previous prime (430319) and next prime (430333).

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

It is a junction number, because it is equal to n+sod(n) for n = 430299 and 430308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 396 + ... + 1008.

It is an arithmetic number, because the mean of its divisors is an integer number (32235).

2430326 is an apocalyptic number.

430326 is the 351-st nonagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 430326, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515760).

430326 is an abundant number, since it is smaller than the sum of its proper divisors (601194).

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

430326 is a wasteful number, since it uses less digits than its factorization.

430326 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 430326 is about 655.9923780045. The cubic root of 430326 is about 75.4974927168.

The spelling of 430326 in words is "four hundred thirty thousand, three hundred twenty-six".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 234 351 613 702 1226 1839 3678 5517 7969 11034 15938 16551 23907 33102 47814 71721 143442 215163 430326