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1244011340 = 2251113411032
BaseRepresentation
bin100101000100110…
…0001101101001100
310012200211022202002
41022021201231030
510021431330330
6323235251432
742553631135
oct11211415514
93180738662
101244011340
11589237150
122a8749b78
1316a963ab0
14bb308c8c
1574330e45
hex4a261b4c

1244011340 has 144 divisors (see below), whose sum is σ = 3174818976. Its totient is φ = 403430400.

The previous prime is 1244011333. The next prime is 1244011357. The reversal of 1244011340 is 431104421.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 12077729 + ... + 12077831.

It is an arithmetic number, because the mean of its divisors is an integer number (22047354).

Almost surely, 21244011340 is an apocalyptic number.

1244011340 is a gapful number since it is divisible by the number (10) 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 1244011340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1587409488).

1244011340 is an abundant number, since it is smaller than the sum of its proper divisors (1930807636).

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

1244011340 is a wasteful number, since it uses less digits than its factorization.

1244011340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 1244011340 is about 35270.5449348320. The cubic root of 1244011340 is about 1075.4943001713.

Adding to 1244011340 its reverse (431104421), we get a palindrome (1675115761).

The spelling of 1244011340 in words is "one billion, two hundred forty-four million, eleven thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 13 20 22 26 41 44 52 55 65 82 103 110 130 143 164 205 206 220 260 286 410 412 451 515 533 572 715 820 902 1030 1066 1133 1339 1430 1804 2060 2132 2255 2266 2665 2678 2860 4223 4510 4532 5330 5356 5665 5863 6695 8446 9020 10609 10660 11330 11726 13390 14729 16892 21115 21218 22660 23452 26780 29315 29458 42230 42436 46453 53045 54899 58630 58916 73645 84460 92906 106090 109798 116699 117260 137917 147290 185812 212180 219596 232265 233398 274495 275834 294580 434969 464530 466796 548990 551668 583495 603889 689585 869938 929060 1097980 1166990 1207778 1379170 1517087 1739876 2174845 2333980 2415556 2758340 3019445 3034174 4349690 4784659 5654597 6038890 6068348 7585435 8699380 9569318 11309194 12077780 15170870 19138636 22618388 23923295 28272985 30341740 47846590 56545970 62200567 95693180 113091940 124401134 248802268 311002835 622005670 1244011340