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324082944 = 283415629
BaseRepresentation
bin10011010100010…
…001110100000000
3211120211010020000
4103110101310000
51130431123234
652054120000
711013442143
oct2324216400
9746733200
10324082944
11156a33349
1290650000
13521b0773
143108205a
151d6b9899
hex13511d00

324082944 has 90 divisors (see below), whose sum is σ = 966418530. Its totient is φ = 108020736.

The previous prime is 324082939. The next prime is 324082961. The reversal of 324082944 is 449280423.

It can be written as a sum of positive squares in only one way, i.e., 324000000 + 82944 = 18000^2 + 288^2 .

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 = 324082899 and 324082908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 12922 + ... + 28550.

Almost surely, 2324082944 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 324082944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483209265).

324082944 is an abundant number, since it is smaller than the sum of its proper divisors (642335586).

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

324082944 is an equidigital number, since it uses as much as digits as its factorization.

324082944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15657 (or 15634 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 324082944 is about 18002.3038525629. The cubic root of 324082944 is about 686.8871499006.

The spelling of 324082944 in words is "three hundred twenty-four million, eighty-two thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 576 648 768 864 1152 1296 1728 2304 2592 3456 5184 6912 10368 15629 20736 31258 46887 62516 93774 125032 140661 187548 250064 281322 375096 421983 500128 562644 750192 843966 1000256 1125288 1265949 1500384 1687932 2000512 2250576 2531898 3000768 3375864 4001024 4501152 5063796 6001536 6751728 9002304 10127592 12003072 13503456 18004608 20255184 27006912 36009216 40510368 54013824 81020736 108027648 162041472 324082944