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34404112102341 = 3438316319713101
BaseRepresentation
bin1111101001010010101001…
…11000010111001111000101
311111211000000201121021100210
413310221110320113033011
514002134110144233331
6201101010402030033
710150420653526032
oct764512470271705
9144730021537323
1034404112102341
11aa6477a406403
123a378b7648319
1316273a8787967
1486d24ca64389
153e9de3698446
hex1f4a54e173c5

34404112102341 has 32 divisors (see below), whose sum is σ = 47795913994752. Its totient is φ = 21996980913600.

The previous prime is 34404112102331. The next prime is 34404112102429. The reversal of 34404112102341 is 14320121140443.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-34404112102341 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34404112102299 and 34404112102308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34404112102331) 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, 8111310 + ... + 11601791.

It is an arithmetic number, because the mean of its divisors is an integer number (1493622312336).

Almost surely, 234404112102341 is an apocalyptic number.

It is an amenable number.

34404112102341 is a deficient number, since it is larger than the sum of its proper divisors (13391801892411).

34404112102341 is a wasteful number, since it uses less digits than its factorization.

34404112102341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19713393.

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 34404112102341 its reverse (14320121140443), we get a palindrome (48724233242784).

The spelling of 34404112102341 in words is "thirty-four trillion, four hundred four billion, one hundred twelve million, one hundred two thousand, three hundred forty-one".

Divisors: 1 3 43 83 129 163 249 489 3569 7009 10707 13529 21027 40587 581747 1745241 19713101 59139303 847663343 1636187383 2542990029 3213235463 4908562149 9639706389 70356057469 138169124909 211068172407 266698543429 414507374727 800095630287 11468037367447 34404112102341