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343024333240031 = 29167175340404389
BaseRepresentation
bin100110111111110101001001…
…1100010000011011011011111
31122222112210202120102112200222
41031333222103202003123133
5324430102313302140111
63213315111521511555
7132152455516112522
oct11577522342033337
91588483676375628
10343024333240031
119a3308915406a3
12325804b71a25bb
1311953095864251
14609c6757cabb9
15299ccb41887db
hex137fa938836df

343024333240031 has 16 divisors (see below), whose sum is σ = 357181272302400. Its totient is φ = 329024891182848.

The previous prime is 343024333240019. The next prime is 343024333240111. The reversal of 343024333240031 is 130042333420343.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-343024333240031 is a prime.

It is a super-2 number, since 2×3430243332400312 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 343024333239973 and 343024333240000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343024333840031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11712416 + ... + 28691973.

It is an arithmetic number, because the mean of its divisors is an integer number (22323829518900).

Almost surely, 2343024333240031 is an apocalyptic number.

343024333240031 is a deficient number, since it is larger than the sum of its proper divisors (14156939062369).

343024333240031 is a wasteful number, since it uses less digits than its factorization.

343024333240031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40406338.

The product of its (nonzero) digits is 186624, while the sum is 35.

Adding to 343024333240031 its reverse (130042333420343), we get a palindrome (473066666660374).

The spelling of 343024333240031 in words is "three hundred forty-three trillion, twenty-four billion, three hundred thirty-three million, two hundred forty thousand, thirty-one".

Divisors: 1 29 167 1753 4843 50837 292751 8489779 40404389 1171727281 6747532963 70828893917 195678455927 2054037923593 11828425284139 343024333240031