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343130320434 = 231131379442501
BaseRepresentation
bin1001111111001000010…
…10010010111000110010
31012210200100020022121110
410333210022102320302
521110212330223214
6421344253334150
733535042412646
oct4774412227062
91183610208543
10343130320434
11122580136420
1256601797356
1326484593c85
141287135ac26
158dd3dcd159
hex4fe4292e32

343130320434 has 64 divisors (see below), whose sum is σ = 774838702080. Its totient is φ = 100359000000.

The previous prime is 343130320387. The next prime is 343130320439. The reversal of 343130320434 is 434023031343.

It is a super-2 number, since 2×3431303204342 (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (343130320439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 554184 + ... + 996684.

It is an arithmetic number, because the mean of its divisors is an integer number (12106854720).

Almost surely, 2343130320434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 343130320434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387419351040).

343130320434 is an abundant number, since it is smaller than the sum of its proper divisors (431708381646).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

343130320434 is a wasteful number, since it uses less digits than its factorization.

343130320434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442927.

The product of its (nonzero) digits is 31104, while the sum is 30.

Adding to 343130320434 its reverse (434023031343), we get a palindrome (777153351777).

The spelling of 343130320434 in words is "three hundred forty-three billion, one hundred thirty million, three hundred twenty thousand, four hundred thirty-four".

Divisors: 1 2 3 6 11 22 31 33 62 66 93 186 341 379 682 758 1023 1137 2046 2274 4169 8338 11749 12507 23498 25014 35247 70494 129239 258478 387717 442501 775434 885002 1327503 2655006 4867511 9735022 13717531 14602533 27435062 29205066 41152593 82305186 150892841 167707879 301785682 335415758 452678523 503123637 905357046 1006247274 1844786669 3689573338 5198944249 5534360007 10397888498 11068720014 15596832747 31193665494 57188386739 114376773478 171565160217 343130320434