Search a number
-
+
24354010341 = 3333713272017
BaseRepresentation
bin10110101011100111…
…001011010011100101
32022212021100220121000
4112223213023103211
5344334111312331
615104342543513
71521341446413
oct265347132345
968767326530
1024354010341
11a368227481
124878137b99
1323b1757a0b
14127066c2b3
1597811d0e6
hex5ab9cb4e5

24354010341 has 32 divisors (see below), whose sum is σ = 36232302080. Its totient is φ = 16167610368.

The previous prime is 24354010339. The next prime is 24354010349. The reversal of 24354010341 is 14301045342.

It is a happy number.

It is not a de Polignac number, because 24354010341 - 21 = 24354010339 is a prime.

It is a super-3 number, since 3×243540103413 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24354010349) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12073365 + ... + 12075381.

It is an arithmetic number, because the mean of its divisors is an integer number (1132259440).

Almost surely, 224354010341 is an apocalyptic number.

It is an amenable number.

24354010341 is a deficient number, since it is larger than the sum of its proper divisors (11878291739).

24354010341 is a wasteful number, since it uses less digits than its factorization.

24354010341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3690 (or 3684 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 24354010341 its reverse (14301045342), we get a palindrome (38655055683).

The spelling of 24354010341 in words is "twenty-four billion, three hundred fifty-four million, ten thousand, three hundred forty-one".

Divisors: 1 3 9 27 337 1011 1327 2017 3033 3981 6051 9099 11943 18153 35829 54459 447199 679729 1341597 2039187 2676559 4024791 6117561 8029677 12074373 18352683 24089031 72267093 902000383 2706001149 8118003447 24354010341