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244311144 = 233711731811
BaseRepresentation
bin11101000111111…
…10010001101000
3122000201021212220
432203332101220
51000020424034
640124234040
76024416250
oct1643762150
9560637786
10244311144
111159a8640
126999b920
133b80020c
1424638960
15166ad749
hexe8fe468

244311144 has 128 divisors (see below), whose sum is σ = 772346880. Its totient is φ = 62553600.

The previous prime is 244311127. The next prime is 244311163. The reversal of 244311144 is 441113442.

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 133999 + ... + 135809.

It is an arithmetic number, because the mean of its divisors is an integer number (6033960).

Almost surely, 2244311144 is an apocalyptic number.

244311144 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 244311144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386173440).

244311144 is an abundant number, since it is smaller than the sum of its proper divisors (528035736).

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

244311144 is a wasteful number, since it uses less digits than its factorization.

244311144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1911 (or 1907 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 244311144 is about 15630.4556555463. The cubic root of 244311144 is about 625.1454756830.

Adding to 244311144 its reverse (441113442), we get a palindrome (685424586).

It can be divided in two parts, 2443111 and 44, that added together give a triangular number (2443155 = T2210).

The spelling of 244311144 in words is "two hundred forty-four million, three hundred eleven thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 73 77 84 88 132 146 154 168 219 231 264 292 308 438 462 511 584 616 803 876 924 1022 1533 1606 1752 1811 1848 2044 2409 3066 3212 3622 4088 4818 5433 5621 6132 6424 7244 9636 10866 11242 12264 12677 14488 16863 19272 19921 21732 22484 25354 33726 38031 39842 43464 44968 50708 59763 67452 76062 79684 101416 119526 132203 134904 139447 152124 159368 239052 264406 278894 304248 396609 418341 478104 528812 557788 793218 836682 925421 1057624 1115576 1454233 1586436 1673364 1850842 2776263 2908466 3172872 3346728 3701684 4362699 5552526 5816932 7403368 8725398 10179631 11105052 11633864 17450796 20359262 22210104 30538893 34901592 40718524 61077786 81437048 122155572 244311144