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244445040 = 24345717317
BaseRepresentation
bin11101001000111…
…10111101110000
3122000222002120000
432210132331300
51000034220130
640131150000
76025514520
oct1644367560
9560862500
10244445040
11115a8a1a4
1269a45300
133b849148
1424671680
15166d8260
hexe91ef70

244445040 has 400 divisors, whose sum is σ = 1030594752. Its totient is φ = 52420608.

The previous prime is 244444999. The next prime is 244445077. The reversal of 244445040 is 40544442.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 244444995 and 244445013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 770962 + ... + 771278.

Almost surely, 2244445040 is an apocalyptic number.

244445040 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 244445040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515297376).

244445040 is an abundant number, since it is smaller than the sum of its proper divisors (786149712).

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

244445040 is a wasteful number, since it uses less digits than its factorization.

244445040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 27.

The square root of 244445040 is about 15634.7382453305. The cubic root of 244445040 is about 625.2596595748.

Adding to 244445040 its reverse (40544442), we get a palindrome (284989482).

The spelling of 244445040 in words is "two hundred forty-four million, four hundred forty-five thousand, forty".