Search a number
-
+
1973314084 = 22721921672
BaseRepresentation
bin111010110011110…
…0110001000100100
312002112010202000211
41311213212020210
513020132022314
6523450545204
766620615200
oct16547461044
95075122024
101973314084
11922980095
12470a38204
13255a92991
1414a10db00
15b83909c4
hex759e6224

1973314084 has 81 divisors (see below), whose sum is σ = 4265197083. Its totient is φ = 796397616.

The previous prime is 1973314069. The next prime is 1973314093. The reversal of 1973314084 is 4804133791.

The square root of 1973314084 is 44422.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×19733140842 = 7787936948225518112, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 11816169 + ... + 11816335.

Almost surely, 21973314084 is an apocalyptic number.

1973314084 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1973314084 is the 44422-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1973314084

1973314084 is an abundant number, since it is smaller than the sum of its proper divisors (2291882999).

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

1973314084 is a wasteful number, since it uses less digits than its factorization.

1973314084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The cubic root of 1973314084 is about 1254.2922489956.

The spelling of 1973314084 in words is "one billion, nine hundred seventy-three million, three hundred fourteen thousand, eighty-four".

Divisors: 1 2 4 7 14 19 28 38 49 76 98 133 167 196 266 334 361 532 668 722 931 1169 1444 1862 2338 2527 3173 3724 4676 5054 6346 8183 10108 12692 16366 17689 22211 27889 32732 35378 44422 55778 60287 70756 88844 111556 120574 155477 195223 241148 310954 390446 422009 529891 621908 780892 844018 1059782 1366561 1688036 2119564 2733122 2954063 3709237 5466244 5908126 7418474 10067929 11816252 14836948 20135858 25964659 40271716 51929318 70475503 103858636 140951006 281902012 493328521 986657042 1973314084