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244008960 = 2113513247
BaseRepresentation
bin11101000101101…
…00100000000000
3122000010221100220
432202310200000
5444431241320
640113543040
76022020246
oct1642644000
9560127326
10244008960
111158115a8
1269874a80
133b725800
142459a796
151664de40
hexe8b4800

244008960 has 288 divisors, whose sum is σ = 863291520. Its totient is φ = 58785792.

The previous prime is 244008911. The next prime is 244008983. The reversal of 244008960 is 69800442.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5191657 + ... + 5191703.

It is an arithmetic number, because the mean of its divisors is an integer number (2997540).

Almost surely, 2244008960 is an apocalyptic number.

244008960 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 244008960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431645760).

244008960 is an abundant number, since it is smaller than the sum of its proper divisors (619282560).

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

244008960 is a wasteful number, since it uses less digits than its factorization.

244008960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 244008960 is about 15620.7861517915. The cubic root of 244008960 is about 624.8876256631.

The spelling of 244008960 in words is "two hundred forty-four million, eight thousand, nine hundred sixty".