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343431312114 = 231171367199697
BaseRepresentation
bin1001111111101100001…
…10011111001011110010
31012211110022121021120110
410333312012133023302
521111321403441424
6421434204522150
733545355662502
oct4776606371362
91184408537513
10343431312114
11122715027980
1256686550356
1326501a4b267
141289d30ba02
158e00535c29
hex4ff619f2f2

343431312114 has 64 divisors (see below), whose sum is σ = 761932541952. Its totient is φ = 102324230400.

The previous prime is 343431312041. The next prime is 343431312149. The reversal of 343431312114 is 411213134343.

It is a super-2 number, since 2×3434313121142 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1619914 + ... + 1819610.

It is an arithmetic number, because the mean of its divisors is an integer number (11905195968).

Almost surely, 2343431312114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 343431312114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380966270976).

343431312114 is an abundant number, since it is smaller than the sum of its proper divisors (418501229838).

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

343431312114 is a wasteful number, since it uses less digits than its factorization.

343431312114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200151.

The product of its digits is 10368, while the sum is 30.

Adding to 343431312114 its reverse (411213134343), we get a palindrome (754644446457).

The spelling of 343431312114 in words is "three hundred forty-three billion, four hundred thirty-one million, three hundred twelve thousand, one hundred fourteen".

Divisors: 1 2 3 6 11 22 33 66 71 142 213 367 426 734 781 1101 1562 2202 2343 4037 4686 8074 12111 24222 26057 52114 78171 156342 199697 286627 399394 573254 599091 859881 1198182 1719762 2196667 4393334 6590001 13180002 14178487 28356974 42535461 73288799 85070922 146577598 155963357 219866397 311926714 439732794 467890071 806176789 935780142 1612353578 2418530367 4837060734 5203504729 10407009458 15610514187 31221028374 57238552019 114477104038 171715656057 343431312114