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244434144 = 2533537213
BaseRepresentation
bin11101001000111…
…00010011100000
3122000221112121110
432210130103200
51000033343034
640131023320
76025440663
oct1644342340
9560845543
10244434144
11115a81a99
1269a3ab40
133b8441b6
142466b6da
15166d4de9
hexe91c4e0

244434144 has 48 divisors (see below), whose sum is σ = 643546512. Its totient is φ = 81235968.

The previous prime is 244434103. The next prime is 244434161. The reversal of 244434144 is 441434442.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30282 + ... + 37494.

It is an arithmetic number, because the mean of its divisors is an integer number (13407219).

Almost surely, 2244434144 is an apocalyptic number.

244434144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

244434144 is an abundant number, since it is smaller than the sum of its proper divisors (399112368).

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

244434144 is a wasteful number, since it uses less digits than its factorization.

244434144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7579 (or 7571 counting only the distinct ones).

The product of its digits is 24576, while the sum is 30.

The square root of 244434144 is about 15634.3897866210. The cubic root of 244434144 is about 625.2503692377.

Adding to 244434144 its reverse (441434442), we get a palindrome (685868586).

The spelling of 244434144 in words is "two hundred forty-four million, four hundred thirty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 353 706 1059 1412 2118 2824 4236 5648 7213 8472 11296 14426 16944 21639 28852 33888 43278 57704 86556 115408 173112 230816 346224 692448 2546189 5092378 7638567 10184756 15277134 20369512 30554268 40739024 61108536 81478048 122217072 244434144