Search a number
-
+
244340040 = 233572312647
BaseRepresentation
bin11101001000001…
…01010101001000
3122000202202112010
432210011111020
51000022340130
640125015520
76024566430
oct1644052510
9560682463
10244340040
11115a1831a
12699b45a0
133b810409
14246452c0
15166b70b0
hexe905548

244340040 has 128 divisors (see below), whose sum is σ = 874229760. Its totient is φ = 53416704.

The previous prime is 244340029. The next prime is 244340059. The reversal of 244340040 is 40043442.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 244339989 and 244340016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12997 + ... + 25643.

It is an arithmetic number, because the mean of its divisors is an integer number (6829920).

Almost surely, 2244340040 is an apocalyptic number.

244340040 is a gapful number since it is divisible by the number (20) 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 244340040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437114880).

244340040 is an abundant number, since it is smaller than the sum of its proper divisors (629889720).

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

244340040 is a wasteful number, since it uses less digits than its factorization.

244340040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12691 (or 12687 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 244340040 is about 15631.3799774684. The cubic root of 244340040 is about 625.1701211565.

Adding to 244340040 its reverse (40043442), we get a palindrome (284383482).

The spelling of 244340040 in words is "two hundred forty-four million, three hundred forty thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 23 24 28 30 35 40 42 46 56 60 69 70 84 92 105 115 120 138 140 161 168 184 210 230 276 280 322 345 420 460 483 552 644 690 805 840 920 966 1288 1380 1610 1932 2415 2760 3220 3864 4830 6440 9660 12647 19320 25294 37941 50588 63235 75882 88529 101176 126470 151764 177058 189705 252940 265587 290881 303528 354116 379410 442645 505880 531174 581762 708232 758820 872643 885290 1062348 1163524 1327935 1454405 1517640 1745286 1770580 2036167 2124696 2327048 2655870 2908810 3490572 3541160 4072334 4363215 5311740 5817620 6108501 6981144 8144668 8726430 10180835 10623480 11635240 12217002 16289336 17452860 20361670 24434004 30542505 34905720 40723340 48868008 61085010 81446680 122170020 244340040