Search a number
-
+
11323314 = 235231013
BaseRepresentation
bin101011001100…
…011110110010
3210022021200000
4223030132302
510344321224
61042410430
7165150402
oct53143662
923267600
1011323314
116434412
123960a16
132465cb2
14170a802
15eda0c9
hexacc7b2

11323314 has 48 divisors (see below), whose sum is σ = 26574912. Its totient is φ = 3606768.

The previous prime is 11323313. The next prime is 11323321. The reversal of 11323314 is 41332311.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (11323313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10672 + ... + 11684.

It is an arithmetic number, because the mean of its divisors is an integer number (553644).

Almost surely, 211323314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11323314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13287456).

11323314 is an abundant number, since it is smaller than the sum of its proper divisors (15251598).

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

11323314 is a wasteful number, since it uses less digits than its factorization.

11323314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1053 (or 1041 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 11323314 is about 3365.0132243425. The cubic root of 11323314 is about 224.5559241171. Note that the first 3 decimals are identical.

Adding to 11323314 its reverse (41332311), we get a palindrome (52655625).

The spelling of 11323314 in words is "eleven million, three hundred twenty-three thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 81 138 162 207 243 414 486 621 1013 1242 1863 2026 3039 3726 5589 6078 9117 11178 18234 23299 27351 46598 54702 69897 82053 139794 164106 209691 246159 419382 492318 629073 1258146 1887219 3774438 5661657 11323314