Search a number
-
+
11320240344 = 23371095031229
BaseRepresentation
bin10101000101011110…
…10010100011011000
31002012221000210101220
422202233102203120
5141140440142334
65111144012040
7550345312110
oct124257224330
932187023356
1011320240344
114889a87136
12223b161020
1310b539108a
14795632040
15463c4a449
hex2a2bd28d8

11320240344 has 128 divisors (see below), whose sum is σ = 32731776000. Its totient is φ = 3195707904.

The previous prime is 11320240297. The next prime is 11320240361. The reversal of 11320240344 is 44304202311.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9210322 + ... + 9211550.

It is an arithmetic number, because the mean of its divisors is an integer number (255717000).

Almost surely, 211320240344 is an apocalyptic number.

11320240344 is a gapful number since it is divisible by the number (14) 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 11320240344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16365888000).

11320240344 is an abundant number, since it is smaller than the sum of its proper divisors (21411535656).

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

11320240344 is a wasteful number, since it uses less digits than its factorization.

11320240344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1857 (or 1853 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 11320240344 its reverse (44304202311), we get a palindrome (55624442655).

The spelling of 11320240344 in words is "eleven billion, three hundred twenty million, two hundred forty thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 109 168 218 327 436 503 654 763 872 1006 1229 1308 1509 1526 2012 2289 2458 2616 3018 3052 3521 3687 4024 4578 4916 6036 6104 7042 7374 8603 9156 9832 10563 12072 14084 14748 17206 18312 21126 25809 28168 29496 34412 42252 51618 54827 68824 84504 103236 109654 133961 164481 206472 219308 267922 328962 383789 401883 438616 535844 618187 657924 767578 803766 937727 1071688 1151367 1236374 1315848 1535156 1607532 1854561 1875454 2302734 2472748 2813181 3070312 3215064 3709122 3750908 4327309 4605468 4945496 5626362 7418244 7501816 8654618 9210936 11252724 12981927 14836488 17309236 22505448 25963854 34618472 51927708 67382383 103855416 134764766 202147149 269529532 404294298 471676681 539059064 808588596 943353362 1415030043 1617177192 1886706724 2830060086 3773413448 5660120172 11320240344