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326146304 = 2811210529
BaseRepresentation
bin10011011100001…
…001100100000000
3211201200221121202
4103130021210000
51131443140204
652210240332
711040124601
oct2334114400
9751627552
10326146304
11158112600
12912860a8
13527539a3
143145bda8
151d975e1e
hex13709900

326146304 has 54 divisors (see below), whose sum is σ = 715650390. Its totient is φ = 148234240.

The previous prime is 326146291. The next prime is 326146339. The reversal of 326146304 is 403641623.

It can be written as a sum of positive squares in only one way, i.e., 309760000 + 16386304 = 17600^2 + 4048^2 .

It is a super-2 number, since 2×3261463042 = 212742823225720832, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 25712 + ... + 36240.

It is an arithmetic number, because the mean of its divisors is an integer number (13252785).

Almost surely, 2326146304 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 326146304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357825195).

326146304 is an abundant number, since it is smaller than the sum of its proper divisors (389504086).

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

326146304 is a wasteful number, since it uses less digits than its factorization.

326146304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10567 (or 10542 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 29.

The square root of 326146304 is about 18059.5211453682. The cubic root of 326146304 is about 688.3418168076.

Adding to 326146304 its reverse (403641623), we get a palindrome (729787927).

The spelling of 326146304 in words is "three hundred twenty-six million, one hundred forty-six thousand, three hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 352 484 704 968 1408 1936 2816 3872 7744 10529 15488 21058 30976 42116 84232 115819 168464 231638 336928 463276 673856 926552 1274009 1347712 1853104 2548018 2695424 3706208 5096036 7412416 10192072 14824832 20384144 29649664 40768288 81536576 163073152 326146304