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244628640 = 25335173331
BaseRepresentation
bin11101001010010…
…11110010100000
3122001022102102000
432211023302200
51000111104030
640135124000
76030211014
oct1645136240
9561272360
10244628640
111160a5133
1269b13600
133b8b1899
14246bc544
1516722860
hexe94bca0

244628640 has 192 divisors, whose sum is σ = 906837120. Its totient is φ = 61378560.

The previous prime is 244628633. The next prime is 244628641. The reversal of 244628640 is 46826442.

It is a happy number.

244628640 is a `hidden beast` number, since 2 + 4 + 4 + 6 + 2 + 8 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 244628595 and 244628604.

It is not an unprimeable number, because it can be changed into a prime (244628641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71775 + ... + 75105.

It is an arithmetic number, because the mean of its divisors is an integer number (4723110).

Almost surely, 2244628640 is an apocalyptic number.

244628640 is a gapful number since it is divisible by the number (20) 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 244628640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453418560).

244628640 is an abundant number, since it is smaller than the sum of its proper divisors (662208480).

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

244628640 is a wasteful number, since it uses less digits than its factorization.

244628640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3372 (or 3358 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 244628640 is about 15640.6086838077. The cubic root of 244628640 is about 625.4161622995.

The spelling of 244628640 in words is "two hundred forty-four million, six hundred twenty-eight thousand, six hundred forty".