Search a number
-
+
343040533056 = 263313611391801
BaseRepresentation
bin1001111110111101100…
…11110010001001000000
31012210110002021122111000
410333132303302021000
521110021334024211
6421331325052000
733532602264114
oct4773663621100
91183402248430
10343040533056
1112253448a881
12565976b7000
132646bab7a50
1412863467744
158dcb094656
hex4fdecf2240

343040533056 has 448 divisors, whose sum is σ = 1112413523200. Its totient is φ = 103016448000.

The previous prime is 343040533051. The next prime is 343040533127. The reversal of 343040533056 is 650335040343.

343040533056 is a `hidden beast` number, since 3 + 4 + 30 + 40 + 533 + 0 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 343040533056.

It is not an unprimeable number, because it can be changed into a prime (343040533051) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 190471356 + ... + 190473156.

It is an arithmetic number, because the mean of its divisors is an integer number (2483065900).

Almost surely, 2343040533056 is an apocalyptic number.

343040533056 is a gapful number since it is divisible by the number (36) 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 343040533056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556206761600).

343040533056 is an abundant number, since it is smaller than the sum of its proper divisors (769372990144).

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

343040533056 is a wasteful number, since it uses less digits than its factorization.

343040533056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2035 (or 2019 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 36.

Adding to 343040533056 its reverse (650335040343), we get a palindrome (993375573399).

It can be divided in two parts, 343040 and 533056, that added together give a square (876096 = 9362).

The spelling of 343040533056 in words is "three hundred forty-three billion, forty million, five hundred thirty-three thousand, fifty-six".