Search a number
-
+
10343133240 = 2335112757941
BaseRepresentation
bin10011010000111111…
…11011000000111000
3222200211102121102220
421220133323000320
5132140320230430
64430201124040
7514212116256
oct115037730070
928624377386
1010343133240
11442847a100
122007a89620
13c8ab0acab
147019635d6
1540808c110
hex2687fb038

10343133240 has 192 divisors, whose sum is σ = 34188043680. Its totient is φ = 2501452800.

The previous prime is 10343133211. The next prime is 10343133271. The reversal of 10343133240 is 4233134301.

10343133240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10343133240.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10991170 + ... + 10992110.

Almost surely, 210343133240 is an apocalyptic number.

10343133240 is a gapful number since it is divisible by the number (10) 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 10343133240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17094021840).

10343133240 is an abundant number, since it is smaller than the sum of its proper divisors (23844910440).

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

10343133240 is a wasteful number, since it uses less digits than its factorization.

10343133240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1734 (or 1719 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 10343133240 its reverse (4233134301), we get a palindrome (14576267541).

The spelling of 10343133240 in words is "ten billion, three hundred forty-three million, one hundred thirty-three thousand, two hundred forty".