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343134340031 = 71797148719991
BaseRepresentation
bin1001111111001000110…
…01101000001110111111
31012210200121210112110102
410333210121220032333
521110214342340111
6421344515431315
733535121523620
oct4774431501677
91183617715412
10343134340031
111225824313aa
1256602bb553b
1326485370732
1412871ac5a47
158dd442413b
hex4fe46683bf

343134340031 has 32 divisors (see below), whose sum is σ = 419805130752. Its totient is φ = 273762570240.

The previous prime is 343134340007. The next prime is 343134340057. The reversal of 343134340031 is 130043431343.

It is a cyclic number.

It is not a de Polignac number, because 343134340031 - 26 = 343134339967 is a prime.

It is a super-2 number, since 2×3431343400312 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 343134339976 and 343134340003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343134300031) 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 31 ways as a sum of consecutive naturals, for example, 17154446 + ... + 17174436.

It is an arithmetic number, because the mean of its divisors is an integer number (13118910336).

Almost surely, 2343134340031 is an apocalyptic number.

343134340031 is a deficient number, since it is larger than the sum of its proper divisors (76670790721).

343134340031 is a wasteful number, since it uses less digits than its factorization.

343134340031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21599.

The product of its (nonzero) digits is 15552, while the sum is 29.

Adding to 343134340031 its reverse (130043431343), we get a palindrome (473177771374).

The spelling of 343134340031 in words is "three hundred forty-three billion, one hundred thirty-four million, three hundred forty thousand, thirty-one".

Divisors: 1 7 17 97 119 679 1487 1649 10409 11543 19991 25279 139937 144239 176953 339847 1009673 1939127 2378929 2452063 13573889 17164441 29726617 32965159 208086319 230756113 505352489 2883481849 3537467423 20184372943 49019191433 343134340031