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244431144 = 23324876971
BaseRepresentation
bin11101001000110…
…11100100101000
3122000221101111100
432210123210220
51000033244034
640131001400
76025426146
oct1644334450
9560841440
10244431144
11115a7a811
1269a39260
133b842a19
142466a596
15166d4099
hexe91b928

244431144 has 48 divisors (see below), whose sum is σ = 663455520. Its totient is φ = 81298080.

The previous prime is 244431137. The next prime is 244431149. The reversal of 244431144 is 441134442.

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

It is not an unprimeable number, because it can be changed into a prime (244431149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31579 + ... + 38549.

It is an arithmetic number, because the mean of its divisors is an integer number (13821990).

Almost surely, 2244431144 is an apocalyptic number.

244431144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

244431144 is an abundant number, since it is smaller than the sum of its proper divisors (419024376).

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

244431144 is a wasteful number, since it uses less digits than its factorization.

244431144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7470 (or 7463 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 244431144 is about 15634.2938439828. The cubic root of 244431144 is about 625.2478112770.

Adding to 244431144 its reverse (441134442), we get a palindrome (685565586).

The spelling of 244431144 in words is "two hundred forty-four million, four hundred thirty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 487 974 1461 1948 2922 3896 4383 5844 6971 8766 11688 13942 17532 20913 27884 35064 41826 55768 62739 83652 125478 167304 250956 501912 3394877 6789754 10184631 13579508 20369262 27159016 30553893 40738524 61107786 81477048 122215572 244431144