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669349000 = 23532923081
BaseRepresentation
bin100111111001010…
…111010010001000
31201122111110012201
4213321113102020
52332323132000
6150230245544
722405241545
oct4771272210
91648443181
10669349000
113139148a1
121681b68b4
13a8899cc8
1464c79bcc
153db6a96a
hex27e57488

669349000 has 64 divisors (see below), whose sum is σ = 1620356400. Its totient is φ = 258496000.

The previous prime is 669348997. The next prime is 669349001. The reversal of 669349000 is 943966.

669349000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 22867524 + 646481476 = 4782^2 + 25426^2 .

It is not an unprimeable number, because it can be changed into a prime (669349001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17460 + ... + 40540.

Almost surely, 2669349000 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 669349000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (810178200).

669349000 is an abundant number, since it is smaller than the sum of its proper divisors (951007400).

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

669349000 is a wasteful number, since it uses less digits than its factorization.

669349000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23131 (or 23117 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 37.

The square root of 669349000 is about 25871.7799928803. The cubic root of 669349000 is about 874.7505139056.

The spelling of 669349000 in words is "six hundred sixty-nine million, three hundred forty-nine thousand".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 125 145 200 232 250 290 500 580 725 1000 1160 1450 2900 3625 5800 7250 14500 23081 29000 46162 92324 115405 184648 230810 461620 577025 669349 923240 1154050 1338698 2308100 2677396 2885125 3346745 4616200 5354792 5770250 6693490 11540500 13386980 16733725 23081000 26773960 33467450 66934900 83668625 133869800 167337250 334674500 669349000