Search a number
-
+
40326 = 23111347
BaseRepresentation
bin1001110110000110
32001022120
421312012
52242301
6510410
7225366
oct116606
961276
1040326
1128330
121b406
1315480
14109a6
15be36
hex9d86

40326 has 32 divisors (see below), whose sum is σ = 96768. Its totient is φ = 11040.

The previous prime is 40289. The next prime is 40343. The reversal of 40326 is 62304.

40326 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 835 + ... + 881.

It is an arithmetic number, because the mean of its divisors is an integer number (3024).

240326 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40326, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48384).

40326 is an abundant number, since it is smaller than the sum of its proper divisors (56442).

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

40326 is a wasteful number, since it uses less digits than its factorization.

40326 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76.

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 40326 is about 200.8133461700. The cubic root of 40326 is about 34.2921763613.

Adding to 40326 its product of nonzero digits (144), we get a triangular number (40470 = T284).

The spelling of 40326 in words is "forty thousand, three hundred twenty-six".

Divisors: 1 2 3 6 11 13 22 26 33 39 47 66 78 94 141 143 282 286 429 517 611 858 1034 1222 1551 1833 3102 3666 6721 13442 20163 40326