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2316003040 = 25513297883
BaseRepresentation
bin1000101000001011…
…0110011011100000
312222101222010220101
42022002312123200
514220344044130
61021451552144
7111251462311
oct21202663340
95871863811
102316003040
11a893613aa
1254775b654
132aba89200
1417d836608
15d84d31ca
hex8a0b66e0

2316003040 has 144 divisors (see below), whose sum is σ = 5992681968. Its totient is φ = 845365248.

The previous prime is 2316003029. The next prime is 2316003047. The reversal of 2316003040 is 403006132.

It is a junction number, because it is equal to n+sod(n) for n = 2316002999 and 2316003017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2316003047) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2622439 + ... + 2623321.

It is an arithmetic number, because the mean of its divisors is an integer number (41615847).

Almost surely, 22316003040 is an apocalyptic number.

2316003040 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 2316003040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2996340984).

2316003040 is an abundant number, since it is smaller than the sum of its proper divisors (3676678928).

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

2316003040 is a wasteful number, since it uses less digits than its factorization.

2316003040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1021 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 2316003040 is about 48124.8692465756. The cubic root of 2316003040 is about 1323.0605140454.

Adding to 2316003040 its reverse (403006132), we get a palindrome (2719009172).

The spelling of 2316003040 in words is "two billion, three hundred sixteen million, three thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 97 104 130 160 169 194 208 260 338 388 416 485 520 676 776 845 883 970 1040 1261 1352 1552 1690 1766 1940 2080 2522 2704 3104 3380 3532 3880 4415 5044 5408 6305 6760 7064 7760 8830 10088 11479 12610 13520 14128 15520 16393 17660 20176 22958 25220 27040 28256 32786 35320 40352 45916 50440 57395 65572 70640 81965 85651 91832 100880 114790 131144 141280 149227 163930 171302 183664 201760 229580 262288 298454 327860 342604 367328 428255 459160 524576 596908 655720 685208 746135 856510 918320 1113463 1193816 1311440 1370416 1492270 1713020 1836640 2226926 2387632 2622880 2740832 2984540 3426040 4453852 4775264 5567315 5969080 6852080 8907704 11134630 11938160 13704160 14475019 17815408 22269260 23876320 28950038 35630816 44538520 57900076 72375095 89077040 115800152 144750190 178154080 231600304 289500380 463200608 579000760 1158001520 2316003040