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664240000 = 275419223
BaseRepresentation
bin100111100101110…
…111111110000000
31201021212212222111
4213211313332000
52330021140000
6145524545104
722313642524
oct4745677600
91637785874
10664240000
11310a45386
12166552194
13a77cb728
1464309d84
153d4abcba
hex27977f80

664240000 has 240 divisors, whose sum is σ = 1821073320. Its totient is φ = 240768000.

The previous prime is 664239991. The next prime is 664240009. The reversal of 664240000 is 42466.

It is an interprime number because it is at equal distance from previous prime (664239991) and next prime (664240009).

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (664240009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 28879989 + ... + 28880011.

Almost surely, 2664240000 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 664240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (910536660).

664240000 is an abundant number, since it is smaller than the sum of its proper divisors (1156833320).

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

664240000 is an equidigital number, since it uses as much as digits as its factorization.

664240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 664240000 is about 25772.8539358760. The cubic root of 664240000 is about 872.5192317663.

Adding to 664240000 its reverse (42466), we get a palindrome (664282466).

The spelling of 664240000 in words is "six hundred sixty-four million, two hundred forty thousand".