Search a number
-
+
10343343340 = 225112337101547
BaseRepresentation
bin10011010001000001…
…01110010011101100
3222200211211021122101
421220200232103230
5132140343441330
64430205424444
7514213652641
oct115040562354
928624737571
1010343343340
114428602a40
122007b6b124
13c8ab82805
147019b9dc8
154080ce4ca
hex26882e4ec

10343343340 has 192 divisors, whose sum is σ = 25692484608. Its totient is φ = 3459456000.

The previous prime is 10343343323. The next prime is 10343343341. The reversal of 10343343340 is 4334334301.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10343343299 and 10343343308.

It is not an unprimeable number, because it can be changed into a prime (10343343341) 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, 18908947 + ... + 18909493.

It is an arithmetic number, because the mean of its divisors is an integer number (133815024).

Almost surely, 210343343340 is an apocalyptic number.

10343343340 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 10343343340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12846242304).

10343343340 is an abundant number, since it is smaller than the sum of its proper divisors (15349141268).

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

10343343340 is a wasteful number, since it uses less digits than its factorization.

10343343340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 28.

Adding to 10343343340 its reverse (4334334301), we get a palindrome (14677677641).

The spelling of 10343343340 in words is "ten billion, three hundred forty-three million, three hundred forty-three thousand, three hundred forty".