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324834444 = 223211839883
BaseRepresentation
bin10011010111001…
…001010010001100
3211122020022002100
4103113021102030
51131124200234
652122155100
711023022124
oct2327112214
9748208070
10324834444
111573a6a20
1290952a90
13523b483c
14311d9c84
151d7b7399
hex135c948c

324834444 has 72 divisors (see below), whose sum is σ = 906639552. Its totient is φ = 97238880.

The previous prime is 324834409. The next prime is 324834449. The reversal of 324834444 is 444438423.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 324834399 and 324834408.

It is not an unprimeable number, because it can be changed into a prime (324834449) 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, 27927 + ... + 37809.

It is an arithmetic number, because the mean of its divisors is an integer number (12592216).

Almost surely, 2324834444 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 324834444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453319776).

324834444 is an abundant number, since it is smaller than the sum of its proper divisors (581805108).

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

324834444 is a wasteful number, since it uses less digits than its factorization.

324834444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9987 (or 9982 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

The square root of 324834444 is about 18023.1640951305. The cubic root of 324834444 is about 687.4176696562.

The spelling of 324834444 in words is "three hundred twenty-four million, eight hundred thirty-four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 83 99 132 166 198 249 332 396 498 747 913 996 1494 1826 2739 2988 3652 5478 8217 9883 10956 16434 19766 29649 32868 39532 59298 88947 108713 118596 177894 217426 326139 355788 434852 652278 820289 978417 1304556 1640578 1956834 2460867 3281156 3913668 4921734 7382601 9023179 9843468 14765202 18046358 27069537 29530404 36092716 54139074 81208611 108278148 162417222 324834444