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334044243342 = 23223297361663
BaseRepresentation
bin1001101110001101001…
…01101010010110001110
31011221020010011210000200
410313012211222112032
520433110311241332
6413242515234330
733063633135165
oct4670645522616
91157203153020
10334044243342
111197382a31a7
12548a68a89a6
13256670364b4
141224c73a3dc
158a5139c17c
hex4dc696a58e

334044243342 has 72 divisors (see below), whose sum is σ = 764400733824. Its totient is φ = 105408559872.

The previous prime is 334044243331. The next prime is 334044243353. The reversal of 334044243342 is 243342440433.

334044243342 is a `hidden beast` number, since 3 + 3 + 404 + 4 + 243 + 3 + 4 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (334044243331) and next prime (334044243353).

It is a super-2 number, since 2×3340442433422 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 334044243297 and 334044243306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 742803 + ... + 1104465.

Almost surely, 2334044243342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 334044243342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382200366912).

334044243342 is an abundant number, since it is smaller than the sum of its proper divisors (430356490482).

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

334044243342 is a wasteful number, since it uses less digits than its factorization.

334044243342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361814 (or 361788 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 36.

Adding to 334044243342 its reverse (243342440433), we get a palindrome (577386683775).

The spelling of 334044243342 in words is "three hundred thirty-four billion, forty-four million, two hundred forty-three thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 23 46 69 97 138 194 207 291 414 529 582 873 1058 1587 1746 2231 3174 4462 4761 6693 9522 13386 20079 40158 51313 102626 153939 307878 361663 461817 723326 923634 1084989 2169978 3254967 6509934 8318249 16636498 24954747 35081311 49909494 70162622 74864241 105243933 149728482 191319727 210487866 315731799 382639454 573959181 631463598 806870153 1147918362 1613740306 1721877543 2420610459 3443755086 4841220918 7261831377 14523662754 18558013519 37116027038 55674040557 111348081114 167022121671 334044243342