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662340096 = 29321173179
BaseRepresentation
bin100111011110101…
…000001000000000
31201011022100210200
4213132220020000
52324024340341
6145420125200
722261540455
oct4736501000
91634270720
10662340096
1130a967a10
12165996800
13a72b4a22
1463d7382c
153d233db6
hex277a8200

662340096 has 240 divisors, whose sum is σ = 2125712160. Its totient is φ = 196853760.

The previous prime is 662340089. The next prime is 662340097. The reversal of 662340096 is 690043266.

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

It is a self number, because there is not a number n which added to its sum of digits gives 662340096.

It is not an unprimeable number, because it can be changed into a prime (662340097) 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 23 ways as a sum of consecutive naturals, for example, 3700135 + ... + 3700313.

It is an arithmetic number, because the mean of its divisors is an integer number (8857134).

Almost surely, 2662340096 is an apocalyptic number.

662340096 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 662340096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1062856080).

662340096 is an abundant number, since it is smaller than the sum of its proper divisors (1463372064).

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

662340096 is a wasteful number, since it uses less digits than its factorization.

662340096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 662340096 is about 25735.9689151196. The cubic root of 662340096 is about 871.6865579407.

The spelling of 662340096 in words is "six hundred sixty-two million, three hundred forty thousand, ninety-six".