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10323324 = 223211131199
BaseRepresentation
bin100111011000…
…010101111100
3201102110221100
4213120111330
510120321244
61005133100
7153514104
oct47302574
921373840
1010323324
115911080
12355a190
1321a5a9b
14152a204
15d8db69
hex9d857c

10323324 has 72 divisors (see below), whose sum is σ = 28828800. Its totient is φ = 3088800.

The previous prime is 10323323. The next prime is 10323337. The reversal of 10323324 is 42332301.

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 = 10323297 and 10323306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10323323) 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, 51777 + ... + 51975.

It is an arithmetic number, because the mean of its divisors is an integer number (400400).

Almost surely, 210323324 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 10323324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14414400).

10323324 is an abundant number, since it is smaller than the sum of its proper divisors (18505476).

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

10323324 is a wasteful number, since it uses less digits than its factorization.

10323324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 346 counting only the distinct ones).

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

The square root of 10323324 is about 3212.9929971912. The cubic root of 10323324 is about 217.7408192716.

Adding to 10323324 its reverse (42332301), we get a palindrome (52655625).

It can be divided in two parts, 1032 and 3324, that added together give a square (4356 = 662).

The spelling of 10323324 in words is "ten million, three hundred twenty-three thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 131 132 198 199 262 393 396 398 524 597 786 796 1179 1194 1441 1572 1791 2189 2358 2388 2882 3582 4323 4378 4716 5764 6567 7164 8646 8756 12969 13134 17292 19701 25938 26069 26268 39402 51876 52138 78207 78804 104276 156414 234621 286759 312828 469242 573518 860277 938484 1147036 1720554 2580831 3441108 5161662 10323324