Search a number
-
+
2324403311340 = 22351114592413861
BaseRepresentation
bin100001110100110001001…
…110111101001011101100
322020012200122220112120010
4201310301032331023230
5301040334221430330
64535452141453220
7326634611103615
oct41646116751354
98205618815503
102324403311340
11816857088090
12316599b71210
1313b2620bcb76
1480704a14c0c
15406e2c973b0
hex21d313bd2ec

2324403311340 has 96 divisors (see below), whose sum is σ = 7104864856320. Its totient is φ = 563105260800.

The previous prime is 2324403311267. The next prime is 2324403311369. The reversal of 2324403311340 is 431133044232.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2324403311298 and 2324403311307.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 243991 + ... + 2169870.

It is an arithmetic number, because the mean of its divisors is an integer number (74009008920).

Almost surely, 22324403311340 is an apocalyptic number.

2324403311340 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 2324403311340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3552432428160).

2324403311340 is an abundant number, since it is smaller than the sum of its proper divisors (4780461544980).

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

2324403311340 is a wasteful number, since it uses less digits than its factorization.

2324403311340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2415343 (or 2415341 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 2324403311340 its reverse (431133044232), we get a palindrome (2755536355572).

The spelling of 2324403311340 in words is "two trillion, three hundred twenty-four billion, four hundred three million, three hundred eleven thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 1459 2918 4377 5836 7295 8754 14590 16049 17508 21885 29180 32098 43770 48147 64196 80245 87540 96294 160490 192588 240735 320980 481470 962940 2413861 4827722 7241583 9655444 12069305 14483166 24138610 26552471 28966332 36207915 48277220 53104942 72415830 79657413 106209884 132762355 144831660 159314826 265524710 318629652 398287065 531049420 796574130 1593148260 3521823199 7043646398 10565469597 14087292796 17609115995 21130939194 35218231990 38740055189 42261878388 52827347985 70436463980 77480110378 105654695970 116220165567 154960220756 193700275945 211309391940 232440331134 387400551890 464880662268 581100827835 774801103780 1162201655670 2324403311340