Search a number
-
+
344113112031 = 31353732778233
BaseRepresentation
bin1010000000111101011…
…11010110001111011111
31012220012211112022020020
411000132233112033133
521114220424041111
6422030002123223
733601305122403
oct5003657261737
91186184468206
10344113112031
11122a34976287
1256836950513
13265b0087570
1412925aa9103
158e40310906
hex501ebd63df

344113112031 has 64 divisors (see below), whose sum is σ = 512234900352. Its totient is φ = 204155707392.

The previous prime is 344113112003. The next prime is 344113112033. The reversal of 344113112031 is 130211311443.

It is a happy number.

It is not a de Polignac number, because 344113112031 - 29 = 344113111519 is a prime.

It is a super-2 number, since 2×3441131120312 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 344113111992 and 344113112010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344113112033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41792691 + ... + 41800923.

It is an arithmetic number, because the mean of its divisors is an integer number (8003670318).

Almost surely, 2344113112031 is an apocalyptic number.

344113112031 is a deficient number, since it is larger than the sum of its proper divisors (168121788321).

344113112031 is a wasteful number, since it uses less digits than its factorization.

344113112031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8652.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 344113112031 its reverse (130211311443), we get a palindrome (474324423474).

The spelling of 344113112031 in words is "three hundred forty-four billion, one hundred thirteen million, one hundred twelve thousand, thirty-one".

Divisors: 1 3 13 39 53 73 159 219 277 689 831 949 2067 2847 3601 3869 8233 10803 11607 14681 20221 24699 44043 50297 60663 107029 150891 190853 262873 321087 436349 572559 601009 788619 1071713 1309047 1803027 2280541 3215139 5672537 6841623 7813117 13932269 17017611 23439351 29647033 31853477 41796807 88941099 95560431 120868673 166479493 362606019 414095201 499438479 1242285603 1571292749 2164233409 4713878247 6492700227 8823413129 26470239387 114704370677 344113112031