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664672320 = 263251341433
BaseRepresentation
bin100111100111100…
…001100001000000
31201022200212000100
4213213201201000
52330124003240
6145542122400
722320423114
oct4747414100
91638625010
10664672320
11311210174
12166720400
13a7920440
14643bd744
153d544e30
hex279e1840

664672320 has 336 divisors, whose sum is σ = 2527931952. Its totient is φ = 159252480.

The previous prime is 664672319. The next prime is 664672321. The reversal of 664672320 is 23276466.

It is a happy number.

664672320 is a `hidden beast` number, since 6 + 646 + 7 + 2 + 3 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (664672319) and next prime (664672321).

It can be written as a sum of positive squares in 8 ways, for example, as 322274304 + 342398016 = 17952^2 + 18504^2 .

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

It is not an unprimeable number, because it can be changed into a prime (664672321) 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, 1534824 + ... + 1535256.

It is an arithmetic number, because the mean of its divisors is an integer number (7523607).

Almost surely, 2664672320 is an apocalyptic number.

664672320 is a gapful number since it is divisible by the number (60) 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 664672320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1263965976).

664672320 is an abundant number, since it is smaller than the sum of its proper divisors (1863259632).

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

664672320 is a wasteful number, since it uses less digits than its factorization.

664672320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 664672320 is about 25781.2396909070. The cubic root of 664672320 is about 872.7084834970.

The spelling of 664672320 in words is "six hundred sixty-four million, six hundred seventy-two thousand, three hundred twenty".