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690446016 = 2632131923211
BaseRepresentation
bin101001001001110…
…101111011000000
31210010012021212200
4221021311323000
52403223233031
6152302353200
723052460101
oct5111657300
91703167780
10690446016
11324814347
1217328b800
13b0075850
14679ac3a8
15409368e6
hex29275ec0

690446016 has 336 divisors, whose sum is σ = 2352080640. Its totient is φ = 191600640.

The previous prime is 690445991. The next prime is 690446021. The reversal of 690446016 is 610644096.

690446016 is a `hidden beast` number, since 6 + 9 + 0 + 44 + 601 + 6 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3272151 + ... + 3272361.

It is an arithmetic number, because the mean of its divisors is an integer number (7000240).

Almost surely, 2690446016 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 690446016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1176040320).

690446016 is an abundant number, since it is smaller than the sum of its proper divisors (1661634624).

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

690446016 is a wasteful number, since it uses less digits than its factorization.

690446016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 690446016 is about 26276.3394710907. The cubic root of 690446016 is about 883.8459495555.

The spelling of 690446016 in words is "six hundred ninety million, four hundred forty-six thousand, sixteen".