Search a number
-
+
2344810230 = 2325721972699
BaseRepresentation
bin1000101111000010…
…1111011011110110
320001102011200221100
42023300233123312
514300232411410
61024401230530
7112051362300
oct21360573366
96042150840
102344810230
11aa36476a4
12555332446
132b4a34299
141835b4970
15dacc38c0
hex8bc2f6f6

2344810230 has 144 divisors (see below), whose sum is σ = 7130494800. Its totient is φ = 533038464.

The previous prime is 2344810199. The next prime is 2344810261. The reversal of 2344810230 is 320184432.

It is an interprime number because it is at equal distance from previous prime (2344810199) and next prime (2344810261).

It is a junction number, because it is equal to n+sod(n) for n = 2344810194 and 2344810203.

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 71 ways as a sum of consecutive naturals, for example, 867421 + ... + 870119.

It is an arithmetic number, because the mean of its divisors is an integer number (49517325).

Almost surely, 22344810230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2344810230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3565247400).

2344810230 is an abundant number, since it is smaller than the sum of its proper divisors (4785684570).

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

2344810230 is a wasteful number, since it uses less digits than its factorization.

2344810230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2923 (or 2913 counting only the distinct ones).

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

The square root of 2344810230 is about 48423.2405978782. The cubic root of 2344810230 is about 1328.5234768383.

Adding to 2344810230 its reverse (320184432), we get a palindrome (2664994662).

The spelling of 2344810230 in words is "two billion, three hundred forty-four million, eight hundred ten thousand, two hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 90 98 105 126 147 197 210 245 294 315 394 441 490 591 630 735 882 985 1182 1379 1470 1773 1970 2205 2699 2758 2955 3546 4137 4410 5398 5910 6895 8097 8274 8865 9653 12411 13495 13790 16194 17730 18893 19306 20685 24291 24822 26990 28959 37786 40485 41370 48265 48582 56679 57918 62055 80970 86877 94465 96530 113358 121455 124110 132251 144795 170037 173754 188930 242910 264502 283395 289590 340074 396753 434385 531703 566790 661255 793506 850185 868770 1063406 1190259 1322510 1595109 1700370 1983765 2380518 2658515 3190218 3721921 3967530 4785327 5317030 5951295 7443842 7975545 9570654 11165763 11902590 15951090 18609605 22331526 23926635 26053447 33497289 37219210 47853270 52106894 55828815 66994578 78160341 111657630 130267235 156320682 167486445 234481023 260534470 334972890 390801705 468962046 781603410 1172405115 2344810230