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244189440 = 28325114147
BaseRepresentation
bin11101000111000…
…00100100000000
3122000111002221100
432203200210000
51000003030230
640121454400
76023401365
oct1643404400
9560432840
10244189440
11115925160
1269941400
133b7899c1
142460646c
1516687660
hexe8e0900

244189440 has 432 divisors, whose sum is σ = 964244736. Its totient is φ = 56524800.

The previous prime is 244189409. The next prime is 244189447. The reversal of 244189440 is 44981442.

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 = 244189395 and 244189404.

It is not an unprimeable number, because it can be changed into a prime (244189447) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5195497 + ... + 5195543.

It is an arithmetic number, because the mean of its divisors is an integer number (2232048).

Almost surely, 2244189440 is an apocalyptic number.

244189440 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 244189440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482122368).

244189440 is an abundant number, since it is smaller than the sum of its proper divisors (720055296).

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

244189440 is a wasteful number, since it uses less digits than its factorization.

244189440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 244189440 is about 15626.5620019248. The cubic root of 244189440 is about 625.0416526907.

The spelling of 244189440 in words is "two hundred forty-four million, one hundred eighty-nine thousand, four hundred forty".