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334343412441 = 3259629648611
BaseRepresentation
bin1001101110110000110…
…10111001101011011001
31011221222222010010212200
410313120122321223121
520434213403144231
6413332323400413
733104225054253
oct4673032715331
91157888103780
10334343412441
1111988115a395
125496ab23109
13256b400302c
141227a374cd3
158a6c794be6
hex4dd86b9ad9

334343412441 has 12 divisors (see below), whose sum is σ = 491125917360. Its totient is φ = 219117716280.

The previous prime is 334343412419. The next prime is 334343412443. The reversal of 334343412441 is 144214343433.

334343412441 is a `hidden beast` number, since 3 + 34 + 343 + 41 + 244 + 1 = 666.

It is not a de Polignac number, because 334343412441 - 210 = 334343411417 is a prime.

It is a super-2 number, since 2×3343434124412 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 334343412396 and 334343412405.

It is not an unprimeable number, because it can be changed into a prime (334343412443) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 314823775 + ... + 314824836.

It is an arithmetic number, because the mean of its divisors is an integer number (40927159780).

Almost surely, 2334343412441 is an apocalyptic number.

It is an amenable number.

334343412441 is a deficient number, since it is larger than the sum of its proper divisors (156782504919).

334343412441 is a wasteful number, since it uses less digits than its factorization.

334343412441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629648676 (or 629648673 counting only the distinct ones).

The product of its digits is 165888, while the sum is 36.

Adding to 334343412441 its reverse (144214343433), we get a palindrome (478557755874).

The spelling of 334343412441 in words is "three hundred thirty-four billion, three hundred forty-three million, four hundred twelve thousand, four hundred forty-one".

Divisors: 1 3 9 59 177 531 629648611 1888945833 5666837499 37149268049 111447804147 334343412441