Search a number
-
+
344162531240 = 235112271262391
BaseRepresentation
bin1010000001000011010…
…11110111011110101000
31012220100021112001122022
411000201223313132220
521114321101444430
6422034525244012
733602445150623
oct5004153673650
91186307461568
10344162531240
11122a5a85a700
125684b403608
13265ba39b4b8
141292c490dba
158e448234e5
hex5021af77a8

344162531240 has 96 divisors (see below), whose sum is σ = 854306369280. Its totient is φ = 124687728000.

The previous prime is 344162531197. The next prime is 344162531267. The reversal of 344162531240 is 42135261443.

It is a self number, because there is not a number n which added to its sum of digits gives 344162531240.

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 23 ways as a sum of consecutive naturals, for example, 1180445 + ... + 1442835.

It is an arithmetic number, because the mean of its divisors is an integer number (8899024680).

Almost surely, 2344162531240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 344162531240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427153184640).

344162531240 is an abundant number, since it is smaller than the sum of its proper divisors (510143838040).

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

344162531240 is a wasteful number, since it uses less digits than its factorization.

344162531240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262695 (or 262680 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 35.

Adding to 344162531240 its reverse (42135261443), we get a palindrome (386297792683).

The spelling of 344162531240 in words is "three hundred forty-four billion, one hundred sixty-two million, five hundred thirty-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 271 440 484 542 605 968 1084 1210 1355 2168 2420 2710 2981 4840 5420 5962 10840 11924 14905 23848 29810 32791 59620 65582 119240 131164 163955 262328 262391 327910 524782 655820 1049564 1311640 1311955 2099128 2623910 2886301 5247820 5772602 10495640 11545204 14431505 23090408 28863010 31749311 57726020 63498622 71107961 115452040 126997244 142215922 158746555 253994488 284431844 317493110 355539805 568863688 634986220 711079610 782187571 1269972440 1422159220 1564375142 2844318440 3128750284 3910937855 6257500568 7821875710 8604063281 15643751420 17208126562 31287502840 34416253124 43020316405 68832506248 86040632810 172081265620 344162531240