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34341244214343 = 31117281217844623
BaseRepresentation
bin1111100111011101100011…
…01010011001110001000111
311111120222202100120122212120
413303232301222121301013
514000121332004324333
6201012052205021023
710143034021353603
oct763566152316107
9144528670518776
1034341244214343
11aa400490a2680
123a27691254773
131621499b21131
1486a1a7358503
153e846429adb3
hex1f3bb1a99c47

34341244214343 has 32 divisors (see below), whose sum is σ = 53077406948352. Its totient is φ = 19518878131200.

The previous prime is 34341244214317. The next prime is 34341244214359.

34341244214343 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34341244214343 - 28 = 34341244214087 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34341244214295 and 34341244214304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34341244214363) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 108764671 + ... + 109079952.

It is an arithmetic number, because the mean of its divisors is an integer number (1658668967136).

Almost surely, 234341244214343 is an apocalyptic number.

34341244214343 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34341244214343 is a deficient number, since it is larger than the sum of its proper divisors (18736162734009).

34341244214343 is a wasteful number, since it uses less digits than its factorization.

34341244214343 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217844935.

The product of its digits is 1327104, while the sum is 42.

It can be divided in two parts, 3434124 and 4214343, that added together give a palindrome (7648467).

The spelling of 34341244214343 in words is "thirty-four trillion, three hundred forty-one billion, two hundred forty-four million, two hundred fourteen thousand, three hundred forty-three".

Divisors: 1 3 11 17 33 51 187 281 561 843 3091 4777 9273 14331 52547 157641 217844623 653533869 2396290853 3703358591 7188872559 11110075773 40736944501 61214339063 122210833503 183643017189 673357729693 1040643764071 2020073189079 3121931292213 11447081404781 34341244214343