Search a number
-
+
10303326 = 23211173061
BaseRepresentation
bin100111010011…
…011101011110
3201101110111200
4213103131132
510114201301
61004500330
7153401565
oct47233536
921343450
1010303326
1158a8050
12354a6a6
132199957
141522bdc
15d87c86
hex9d375e

10303326 has 48 divisors (see below), whose sum is σ = 25794288. Its totient is φ = 2937600.

The previous prime is 10303291. The next prime is 10303331. The reversal of 10303326 is 62330301.

It is a happy number.

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 = 10303299 and 10303308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1836 + ... + 4896.

It is an arithmetic number, because the mean of its divisors is an integer number (537381).

Almost surely, 210303326 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10303326, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12897144).

10303326 is an abundant number, since it is smaller than the sum of its proper divisors (15490962).

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

10303326 is a wasteful number, since it uses less digits than its factorization.

10303326 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3097 (or 3094 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 10303326 is about 3209.8794369882. The cubic root of 10303326 is about 217.6001282934.

Adding to 10303326 its reverse (62330301), we get a palindrome (72633627).

It can be divided in two parts, 1030 and 3326, that added together give a square (4356 = 662).

The spelling of 10303326 in words is "ten million, three hundred three thousand, three hundred twenty-six".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 51 66 99 102 153 187 198 306 374 561 1122 1683 3061 3366 6122 9183 18366 27549 33671 52037 55098 67342 101013 104074 156111 202026 303039 312222 468333 572407 606078 936666 1144814 1717221 3434442 5151663 10303326