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324011264 = 288914221
BaseRepresentation
bin10011010100000…
…000010100000000
3211120200110220012
4103110000110000
51130421330024
652052404052
711013023153
oct2324002400
9746613805
10324011264
11156994505
1290616628
1352186c55
1431063c9a
151d6a350e
hex13500500

324011264 has 36 divisors (see below), whose sum is σ = 654069780. Its totient is φ = 160174080.

The previous prime is 324011249. The next prime is 324011273. The reversal of 324011264 is 462110423.

324011264 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 139051264 + 184960000 = 11792^2 + 13600^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15674 + ... + 29894.

It is an arithmetic number, because the mean of its divisors is an integer number (18168605).

Almost surely, 2324011264 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 324011264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327034890).

324011264 is an abundant number, since it is smaller than the sum of its proper divisors (330058516).

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

324011264 is an equidigital number, since it uses as much as digits as its factorization.

324011264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14326 (or 14312 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 324011264 is about 18000.3128861695. The cubic root of 324011264 is about 686.8365047368.

Adding to 324011264 its reverse (462110423), we get a palindrome (786121687).

The spelling of 324011264 in words is "three hundred twenty-four million, eleven thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 89 128 178 256 356 712 1424 2848 5696 11392 14221 22784 28442 56884 113768 227536 455072 910144 1265669 1820288 2531338 3640576 5062676 10125352 20250704 40501408 81002816 162005632 324011264