Search a number
-
+
326734848 = 21032112293
BaseRepresentation
bin10011011110011…
…001010000000000
3211202210211221200
4103132121100000
51132121003343
652231021200
711045125506
oct2336312000
9752724850
10326734848
11158484800
129150a800
13528cb83b
1431572676
151da404d3
hex13799400

326734848 has 198 divisors, whose sum is σ = 1040543322. Its totient is φ = 98672640.

The previous prime is 326734843. The next prime is 326734871. The reversal of 326734848 is 848437623.

326734848 is a `hidden beast` number, since 3 + 267 + 348 + 48 = 666.

It can be written as a sum of positive squares in only one way, i.e., 322274304 + 4460544 = 17952^2 + 2112^2 .

It is a tau number, because it is divible by the number of its divisors (198).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (326734841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1114990 + ... + 1115282.

Almost surely, 2326734848 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 326734848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520271661).

326734848 is an abundant number, since it is smaller than the sum of its proper divisors (713808474).

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

326734848 is a wasteful number, since it uses less digits than its factorization.

326734848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 309 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The square root of 326734848 is about 18075.8083636666. The cubic root of 326734848 is about 688.7556147469.

The spelling of 326734848 in words is "three hundred twenty-six million, seven hundred thirty-four thousand, eight hundred forty-eight".