Search a number
-
+
1218321468 = 2232713383971
BaseRepresentation
bin100100010011110…
…0001110000111100
310010220111010212100
41020213201300330
54443342241333
6320520505100
742122363430
oct11047416074
93126433770
101218321468
1157578aa51
122a001b190
1316553a8a0
14b7b3c9c0
1571e59213
hex489e1c3c

1218321468 has 144 divisors (see below), whose sum is σ = 3804143616. Its totient is φ = 320146560.

The previous prime is 1218321457. The next prime is 1218321469. The reversal of 1218321468 is 8641238121.

1218321468 is a `hidden beast` number, since 12 + 183 + 2 + 1 + 468 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1218321469) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1254223 + ... + 1255193.

It is an arithmetic number, because the mean of its divisors is an integer number (26417664).

Almost surely, 21218321468 is an apocalyptic number.

1218321468 is a gapful number since it is divisible by the number (18) 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 1218321468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1902071808).

1218321468 is an abundant number, since it is smaller than the sum of its proper divisors (2585822148).

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

1218321468 is a wasteful number, since it uses less digits than its factorization.

1218321468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1384 (or 1379 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 1218321468 is about 34904.4620070271. The cubic root of 1218321468 is about 1068.0394611519.

Adding to 1218321468 its reverse (8641238121), we get a palindrome (9859559589).

The spelling of 1218321468 in words is "one billion, two hundred eighteen million, three hundred twenty-one thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 156 182 234 252 273 364 383 468 546 766 819 971 1092 1149 1532 1638 1942 2298 2681 2913 3276 3447 3884 4596 4979 5362 5826 6797 6894 8043 8739 9958 10724 11652 12623 13594 13788 14937 16086 17478 19916 20391 24129 25246 27188 29874 32172 34853 34956 37869 40782 44811 48258 50492 59748 61173 69706 75738 81564 88361 89622 96516 104559 113607 122346 139412 151476 176722 179244 209118 227214 244692 265083 313677 353444 371893 418236 454428 530166 627354 743786 795249 1060332 1115679 1254708 1487572 1590498 2231358 2603251 3180996 3347037 4462716 4834609 5206502 6694074 7809753 9669218 10413004 13388148 14503827 15619506 19338436 23429259 29007654 31239012 33842263 43511481 46858518 58015308 67684526 87022962 93717036 101526789 135369052 174045924 203053578 304580367 406107156 609160734 1218321468