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348423189048 = 2332112389102811
BaseRepresentation
bin1010001000111111010…
…00111111001000111000
31020022100012200220101100
411010133220333020320
521202032314022143
6424021410051400
734113152145534
oct5043750771070
91208305626340
10348423189048
11124846896a00
125763a279b60
1326b18cc46ac
1412c14296bc4
1590e38d56d3
hex511fa3f238

348423189048 has 144 divisors (see below), whose sum is σ = 1039907395800. Its totient is φ = 105310339200.

The previous prime is 348423189047. The next prime is 348423189067. The reversal of 348423189048 is 840981324843.

348423189048 is a `hidden beast` number, since 3 + 484 + 2 + 31 + 8 + 90 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 348423188985 and 348423189003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (348423189047) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3337563 + ... + 3440373.

Almost surely, 2348423189048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 348423189048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519953697900).

348423189048 is an abundant number, since it is smaller than the sum of its proper divisors (691484206752).

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

348423189048 is a wasteful number, since it uses less digits than its factorization.

348423189048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103234 (or 103216 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 348423189048 in words is "three hundred forty-eight billion, four hundred twenty-three million, one hundred eighty-nine thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 121 132 198 242 264 363 389 396 484 726 778 792 968 1089 1167 1452 1556 2178 2334 2904 3112 3501 4279 4356 4668 7002 8558 8712 9336 12837 14004 17116 25674 28008 34232 38511 47069 51348 77022 94138 102696 102811 141207 154044 188276 205622 282414 308088 308433 376552 411244 423621 564828 616866 822488 847242 925299 1129656 1130921 1233732 1694484 1850598 2261842 2467464 3388968 3392763 3701196 4523684 6785526 7402392 9047368 10178289 12440131 13571052 20356578 24880262 27142104 37320393 39993479 40713156 49760524 74640786 79986958 81426312 99521048 111961179 119980437 149281572 159973916 223922358 239960874 298563144 319947832 359941311 439928269 447844716 479921748 719882622 879856538 895689432 959843496 1319784807 1439765244 1759713076 2639569614 2879530488 3519426152 3959354421 4839210959 5279139228 7918708842 9678421918 10558278456 14517632877 15837417684 19356843836 29035265754 31674835368 38713687672 43552898631 58070531508 87105797262 116141063016 174211594524 348423189048