Search a number
-
+
343112410334331 = 321117329639618463
BaseRepresentation
bin100111000000011110001010…
…1010101100000010001111011
31122222212020002211000112002200
41032000330111111200101323
5324433023204021144311
63213423355411401243
7132162024246056151
oct11600742525402173
91588766084015080
10343112410334331
119a365179791220
1232595597bb3223
131195b491192ab1
1460a2a2d17b3d1
1529a021b7d0556
hex1380f1556047b

343112410334331 has 48 divisors (see below), whose sum is σ = 572468288071680. Its totient is φ = 195713833685760.

The previous prime is 343112410334303. The next prime is 343112410334371. The reversal of 343112410334331 is 133433014211343.

343112410334331 is a `hidden beast` number, since 3 + 4 + 3 + 112 + 4 + 103 + 3 + 433 + 1 = 666.

It is not a de Polignac number, because 343112410334331 - 217 = 343112410203259 is a prime.

It is a super-2 number, since 2×3431124103343312 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (343112410334371) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 554473206 + ... + 555091668.

It is an arithmetic number, because the mean of its divisors is an integer number (11926422668160).

Almost surely, 2343112410334331 is an apocalyptic number.

343112410334331 is a deficient number, since it is larger than the sum of its proper divisors (229355877737349).

343112410334331 is a wasteful number, since it uses less digits than its factorization.

343112410334331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 948136 (or 948133 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

Adding to 343112410334331 its reverse (133433014211343), we get a palindrome (476545424545674).

The spelling of 343112410334331 in words is "three hundred forty-three trillion, one hundred twelve billion, four hundred ten million, three hundred thirty-four thousand, three hundred thirty-one".

Divisors: 1 3 9 11 17 33 51 99 153 187 561 1683 329639 618463 988917 1855389 2966751 3626029 5566167 5603863 6803093 10513871 10878087 16811589 20409279 31541613 32634261 50434767 61227837 61642493 94624839 115652581 184927479 346957743 554782437 1040873229 203869524857 611608574571 1834825723713 2242564773427 3465781922569 6727694320281 10397345767707 20183082960843 31192037303121 38123601148259 114370803444777 343112410334331