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276327072 = 25337261107
BaseRepresentation
bin10000011110000…
…110101010100000
3201020221212111000
4100132012222200
51031214431242
643230352000
76563512200
oct2036065240
9636855430
10276327072
11131a8568a
127865b600
134532c958
14289b0400
15193d4a4c
hex10786aa0

276327072 has 288 divisors, whose sum is σ = 961813440. Its totient is φ = 76930560.

The previous prime is 276327071. The next prime is 276327091. The reversal of 276327072 is 270723672.

276327072 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (276327071) 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 47 ways as a sum of consecutive naturals, for example, 2582443 + ... + 2582549.

It is an arithmetic number, because the mean of its divisors is an integer number (3339630).

Almost surely, 2276327072 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 276327072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480906720).

276327072 is an abundant number, since it is smaller than the sum of its proper divisors (685486368).

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

276327072 is a wasteful number, since it uses less digits than its factorization.

276327072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 36.

The square root of 276327072 is about 16623.0885216917. The cubic root of 276327072 is about 651.3400928506.

The spelling of 276327072 in words is "two hundred seventy-six million, three hundred twenty-seven thousand, seventy-two".