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3349750734 = 23311291631193
BaseRepresentation
bin1100011110101001…
…0010001111001110
322122110010222011000
43013222102033032
523330014010414
61312220441130
7146003261061
oct30752221716
98573128130
103349750734
111469935340
127959a91a6
13414cb1135
1423ac4a8d8
1514912db09
hexc7a923ce

3349750734 has 128 divisors (see below), whose sum is σ = 8459251200. Its totient is φ = 973244160.

The previous prime is 3349750709. The next prime is 3349750739. The reversal of 3349750734 is 4370579433.

It is a happy number.

It is a super-2 number, since 2×33497507342 = 22441659959867077512, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 3349750734.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3349750739) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2807242 + ... + 2808434.

It is an arithmetic number, because the mean of its divisors is an integer number (66087900).

Almost surely, 23349750734 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3349750734, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4229625600).

3349750734 is an abundant number, since it is smaller than the sum of its proper divisors (5109500466).

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

3349750734 is a wasteful number, since it uses less digits than its factorization.

3349750734 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1407 (or 1401 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 45.

The square root of 3349750734 is about 57877.0311436238. The cubic root of 3349750734 is about 1496.2500008166.

The spelling of 3349750734 in words is "three billion, three hundred forty-nine million, seven hundred fifty thousand, seven hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 27 29 33 54 58 66 87 99 163 174 198 261 297 319 326 489 522 594 638 783 957 978 1193 1467 1566 1793 1914 2386 2871 2934 3579 3586 4401 4727 5379 5742 7158 8613 8802 9454 10737 10758 13123 14181 16137 17226 21474 26246 28362 32211 32274 34597 39369 42543 48411 51997 64422 69194 78738 85086 96822 103791 103994 118107 127629 155991 194459 207582 236214 255258 311373 311982 354321 380567 388918 467973 583377 622746 708642 761134 934119 935946 1141701 1166754 1403919 1750131 1868238 2139049 2283402 2807838 3425103 3500262 4278098 5250393 5639311 6417147 6850206 10275309 10500786 11278622 12834294 16917933 19251441 20550618 33835866 38502882 50753799 57754323 62032421 101507598 115508646 124064842 152261397 186097263 304522794 372194526 558291789 1116583578 1674875367 3349750734