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244431024 = 24329891973
BaseRepresentation
bin11101001000110…
…11100010110000
3122000221101022220
432210123202300
51000033243044
640131001040
76025425615
oct1644334260
9560841286
10244431024
11115a7a712
1269a39180
133b842956
142466a50c
15166d4019
hexe91b8b0

244431024 has 80 divisors (see below), whose sum is σ = 660895200. Its totient is φ = 77744128.

The previous prime is 244431023. The next prime is 244431043. The reversal of 244431024 is 420134442.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 244430985 and 244431003.

It is not an unprimeable number, because it can be changed into a prime (244431023) 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 15 ways as a sum of consecutive naturals, for example, 122902 + ... + 124874.

It is an arithmetic number, because the mean of its divisors is an integer number (8261190).

Almost surely, 2244431024 is an apocalyptic number.

244431024 is a gapful number since it is divisible by the number (24) 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 244431024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330447600).

244431024 is an abundant number, since it is smaller than the sum of its proper divisors (416464176).

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

244431024 is a wasteful number, since it uses less digits than its factorization.

244431024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2102 (or 2096 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 244431024 is about 15634.2900062651. The cubic root of 244431024 is about 625.2477089581.

Adding to 244431024 its reverse (420134442), we get a palindrome (664565466).

The spelling of 244431024 in words is "two hundred forty-four million, four hundred thirty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 89 116 174 178 232 267 348 356 464 534 696 712 1068 1392 1424 1973 2136 2581 3946 4272 5162 5919 7743 7892 10324 11838 15486 15784 20648 23676 30972 31568 41296 47352 57217 61944 94704 114434 123888 171651 175597 228868 343302 351194 457736 526791 686604 702388 915472 1053582 1373208 1404776 2107164 2746416 2809552 4214328 5092313 8428656 10184626 15276939 20369252 30553878 40738504 61107756 81477008 122215512 244431024