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296668512 = 253273147101
BaseRepresentation
bin10001101011101…
…100110101100000
3202200020022200200
4101223230311200
51101421343022
645234345200
710231432530
oct2153546540
9680208620
10296668512
11142509498
128342b200
13496025ca
142b5874c0
151b0a1bac
hex11aecd60

296668512 has 288 divisors, whose sum is σ = 1026514944. Its totient is φ = 79488000.

The previous prime is 296668511. The next prime is 296668517. The reversal of 296668512 is 215866692.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (296668511) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2937262 + ... + 2937362.

It is an arithmetic number, because the mean of its divisors is an integer number (3564288).

Almost surely, 2296668512 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 296668512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513257472).

296668512 is an abundant number, since it is smaller than the sum of its proper divisors (729846432).

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

296668512 is a wasteful number, since it uses less digits than its factorization.

296668512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 191 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 296668512 is about 17224.0678122214. The cubic root of 296668512 is about 666.9457116290.

The spelling of 296668512 in words is "two hundred ninety-six million, six hundred sixty-eight thousand, five hundred twelve".