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244413312 = 27311134451
BaseRepresentation
bin11101001000101…
…11001110000000
3122000220111000220
432210113032000
51000032211222
640130343040
76025323153
oct1644271600
9560814026
10244413312
11115a68380
1269a2aa80
133b837880
1424663c9a
15166cdb5c
hexe917380

244413312 has 128 divisors (see below), whose sum is σ = 762894720. Its totient is φ = 68352000.

The previous prime is 244413293. The next prime is 244413319. The reversal of 244413312 is 213314442.

It is a tau number, because it is divible by the number of its divisors (128).

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (244413319) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52687 + ... + 57137.

It is an arithmetic number, because the mean of its divisors is an integer number (5960115).

Almost surely, 2244413312 is an apocalyptic number.

244413312 is a gapful number since it is divisible by the number (22) 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 244413312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381447360).

244413312 is an abundant number, since it is smaller than the sum of its proper divisors (518481408).

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

244413312 is a wasteful number, since it uses less digits than its factorization.

244413312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4492 (or 4480 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 244413312 is about 15633.7235487903. The cubic root of 244413312 is about 625.2326063268.

Adding to 244413312 its reverse (213314442), we get a palindrome (457727754).

The spelling of 244413312 in words is "two hundred forty-four million, four hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 64 66 78 88 96 104 128 132 143 156 176 192 208 264 286 312 352 384 416 429 528 572 624 704 832 858 1056 1144 1248 1408 1664 1716 2112 2288 2496 3432 4224 4451 4576 4992 6864 8902 9152 13353 13728 17804 18304 26706 27456 35608 48961 53412 54912 57863 71216 97922 106824 115726 142432 146883 173589 195844 213648 231452 284864 293766 347178 391688 427296 462904 569728 587532 636493 694356 783376 854592 925808 1175064 1272986 1388712 1566752 1709184 1851616 1909479 2350128 2545972 2777424 3133504 3703232 3818958 4700256 5091944 5554848 6267008 7406464 7637916 9400512 10183888 11109696 15275832 18801024 20367776 22219392 30551664 40735552 61103328 81471104 122206656 244413312