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2423391210 = 234531103937
BaseRepresentation
bin1001000001110010…
…0000001111101010
320020220001000210000
42100130200033222
514430342004320
61040245403430
7114024325332
oct22034401752
96226030700
102423391210
111033a39759
12577709576
132c80b87c6
1418dbcc0c2
15e2b46c90
hex907203ea

2423391210 has 160 divisors (see below), whose sum is σ = 6798984192. Its totient is φ = 618658560.

The previous prime is 2423391209. The next prime is 2423391227. The reversal of 2423391210 is 121933242.

It is a happy number.

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

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 2585862 + ... + 2586798.

Almost surely, 22423391210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2423391210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3399492096).

2423391210 is an abundant number, since it is smaller than the sum of its proper divisors (4375592982).

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

2423391210 is a wasteful number, since it uses less digits than its factorization.

2423391210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1090 (or 1081 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 2423391210 is about 49227.9515113111. The cubic root of 2423391210 is about 1343.2015246805.

The spelling of 2423391210 in words is "two billion, four hundred twenty-three million, three hundred ninety-one thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 31 45 54 62 81 90 93 103 135 155 162 186 206 270 279 309 310 405 465 515 558 618 810 837 927 930 937 1030 1395 1545 1674 1854 1874 2511 2781 2790 2811 3090 3193 4185 4635 4685 5022 5562 5622 6386 8343 8370 8433 9270 9370 9579 12555 13905 14055 15965 16686 16866 19158 25110 25299 27810 28110 28737 29047 31930 41715 42165 47895 50598 57474 58094 75897 83430 84330 86211 87141 95790 96511 126495 143685 145235 151794 172422 174282 193022 252990 258633 261423 287370 289533 290470 379485 431055 435705 482555 517266 522846 579066 758970 784269 862110 868599 871410 965110 1293165 1307115 1447665 1568538 1737198 2352807 2586330 2605797 2614230 2895330 2991841 3921345 4342995 4705614 5211594 5983682 7817391 7842690 8685990 8975523 11764035 13028985 14959205 15634782 17951046 23528070 26057970 26926569 29918410 39086955 44877615 53853138 78173910 80779707 89755230 134632845 161559414 242339121 269265690 403898535 484678242 807797070 1211695605 2423391210