Search a number
-
+
2162340312 = 2331143672843
BaseRepresentation
bin1000000011100010…
…1011000111011000
312120200211021021020
42000320223013120
513412024342222
6554322242440
7104404406106
oct20070530730
95520737236
102162340312
11a0a648310
125041b6420
13285ca7112
14167276c76
15c9c7d65c
hex80e2b1d8

2162340312 has 128 divisors (see below), whose sum is σ = 6126658560. Its totient is φ = 630241920.

The previous prime is 2162340263. The next prime is 2162340329. The reversal of 2162340312 is 2130432612.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 759163 + ... + 762005.

It is an arithmetic number, because the mean of its divisors is an integer number (47864520).

Almost surely, 22162340312 is an apocalyptic number.

2162340312 is a gapful number since it is divisible by the number (22) 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 2162340312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3063329280).

2162340312 is an abundant number, since it is smaller than the sum of its proper divisors (3964318248).

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

2162340312 is a wasteful number, since it uses less digits than its factorization.

2162340312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2973 (or 2969 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 2162340312 is about 46500.9710866343. The cubic root of 2162340312 is about 1293.1275019331.

Adding to 2162340312 its reverse (2130432612), we get a palindrome (4292772924).

The spelling of 2162340312 in words is "two billion, one hundred sixty-two million, three hundred forty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 43 44 66 67 86 88 129 132 134 172 201 258 264 268 344 402 473 516 536 737 804 946 1032 1419 1474 1608 1892 2211 2838 2843 2881 2948 3784 4422 5676 5686 5762 5896 8529 8643 8844 11352 11372 11524 17058 17286 17688 22744 23048 31273 31691 34116 34572 62546 63382 68232 69144 93819 95073 122249 125092 126764 187638 190146 190481 244498 250184 253528 366747 375276 380292 380962 488996 571443 733494 750552 760584 761924 977992 1142886 1344739 1466988 1523848 2095291 2285772 2689478 2933976 4034217 4190582 4571544 5378956 6285873 8068434 8190683 8381164 10757912 12571746 16136868 16381366 16762328 24572049 25143492 32273736 32762732 49144098 50286984 65525464 90097513 98288196 180195026 196576392 270292539 360390052 540585078 720780104 1081170156 2162340312