Search a number
-
+
8340314040 = 23365286019
BaseRepresentation
bin1111100010001111…
…10001011110111000
3210112020202212000000
413301013301132320
5114040110022130
63455333513000
7413452333242
oct76107613670
923466685000
108340314040
11359a987423
1217491a2760
13a2bbb7686
14591973092
1533c31e260
hex1f11f17b8

8340314040 has 112 divisors (see below), whose sum is σ = 28135787400. Its totient is φ = 2224075968.

The previous prime is 8340314039. The next prime is 8340314051. The reversal of 8340314040 is 404130438.

8340314040 is a `hidden beast` number, since 8 + 340 + 314 + 0 + 4 + 0 = 666.

It is a super-2 number, since 2×83403140402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 8340313995 and 8340314013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 113850 + ... + 172169.

Almost surely, 28340314040 is an apocalyptic number.

It is an amenable number.

8340314040 is an abundant number, since it is smaller than the sum of its proper divisors (19795473360).

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

8340314040 is a wasteful number, since it uses less digits than its factorization.

8340314040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286048 (or 286029 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 8340314040 is about 91325.3198187666. The cubic root of 8340314040 is about 2027.9666147650.

Adding to 8340314040 its reverse (404130438), we get a palindrome (8744444478).

The spelling of 8340314040 in words is "eight billion, three hundred forty million, three hundred fourteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 243 270 324 360 405 486 540 648 729 810 972 1080 1215 1458 1620 1944 2430 2916 3240 3645 4860 5832 7290 9720 14580 29160 286019 572038 858057 1144076 1430095 1716114 2288152 2574171 2860190 3432228 4290285 5148342 5720380 6864456 7722513 8580570 10296684 11440760 12870855 15445026 17161140 20593368 23167539 25741710 30890052 34322280 38612565 46335078 51483420 61780104 69502617 77225130 92670156 102966840 115837695 139005234 154450260 185340312 208507851 231675390 278010468 308900520 347513085 417015702 463350780 556020936 695026170 834031404 926701560 1042539255 1390052340 1668062808 2085078510 2780104680 4170157020 8340314040