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244660416 = 263711131967
BaseRepresentation
bin11101001010100…
…11100011000000
3122001101000222220
432211103203000
51000113113131
640135531040
76030402450
oct1645234300
9561330886
10244660416
11116116aa0
1269b29a80
133b8c31a0
14246c9d60
151672be96
hexe9538c0

244660416 has 448 divisors, whose sum is σ = 928542720. Its totient is φ = 54743040.

The previous prime is 244660387. The next prime is 244660421. The reversal of 244660416 is 614066442.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3651615 + ... + 3651681.

It is an arithmetic number, because the mean of its divisors is an integer number (2072640).

Almost surely, 2244660416 is an apocalyptic number.

244660416 is a gapful number since it is divisible by the number (26) 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 244660416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464271360).

244660416 is an abundant number, since it is smaller than the sum of its proper divisors (683882304).

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

244660416 is a wasteful number, since it uses less digits than its factorization.

244660416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 244660416 is about 15641.6244680660. The cubic root of 244660416 is about 625.4432405728.

The spelling of 244660416 in words is "two hundred forty-four million, six hundred sixty thousand, four hundred sixteen".