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244481328 = 2435713691
BaseRepresentation
bin11101001001001…
…11110100110000
3122001000221100000
432210213310300
51000041400303
640132030000
76026025360
oct1644476460
9561027300
10244481328
11116004493
1269a62300
133b85c810
14246809a0
15166e3da3
hexe927d30

244481328 has 240 divisors, whose sum is σ = 874555136. Its totient is φ = 64385280.

The previous prime is 244481299. The next prime is 244481333. The reversal of 244481328 is 823184442.

244481328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

244481328 is a nontrivial binomial coefficient, being equal to C(22113, 2).

It is a super-2 number, since 2×2444813282 = 119542239481287168, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 244481292 and 244481301.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 353463 + ... + 354153.

Almost surely, 2244481328 is an apocalyptic number.

244481328 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

244481328 is the 22112-nd triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 244481328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437277568).

244481328 is an abundant number, since it is smaller than the sum of its proper divisors (630073808).

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

244481328 is a wasteful number, since it uses less digits than its factorization.

244481328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734 (or 716 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

The square root of 244481328 is about 15635.8986949903. The cubic root of 244481328 is about 625.2905980901.

The spelling of 244481328 in words is "two hundred forty-four million, four hundred eighty-one thousand, three hundred twenty-eight".