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342860876736 = 26371579161561
BaseRepresentation
bin1001111110101000001…
…10011100101111000000
31012202222120020011100020
410333110012130233000
521104134341023421
6421301430253440
733525261236550
oct4772406345700
91182876204306
10342860876736
11122452032384
12565474b7280
1326440804431
141284765d160
158dba407dc6
hex4fd419cbc0

342860876736 has 112 divisors (see below), whose sum is σ = 1037408989440. Its totient is φ = 97897605120.

The previous prime is 342860876717. The next prime is 342860876819. The reversal of 342860876736 is 637678068243.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 342860876736.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2041396 + ... + 2202956.

Almost surely, 2342860876736 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 342860876736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518704494720).

342860876736 is an abundant number, since it is smaller than the sum of its proper divisors (694548112704).

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

342860876736 is a wasteful number, since it uses less digits than its factorization.

342860876736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163162 (or 163152 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 60.

The spelling of 342860876736 in words is "three hundred forty-two billion, eight hundred sixty million, eight hundred seventy-six thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 1579 3158 4737 6316 9474 11053 12632 18948 22106 25264 33159 37896 44212 50528 66318 75792 88424 101056 132636 151584 161561 176848 265272 303168 323122 353696 484683 530544 646244 707392 969366 1061088 1130927 1292488 1938732 2122176 2261854 2584976 3392781 3877464 4523708 5169952 6785562 7754928 9047416 10339904 13571124 15509856 18094832 27142248 31019712 36189664 54284496 72379328 108568992 217137984 255104819 510209638 765314457 1020419276 1530628914 1785733733 2040838552 3061257828 3571467466 4081677104 5357201199 6122515656 7142934932 8163354208 10714402398 12245031312 14285869864 16326708416 21428804796 24490062624 28571739728 42857609592 48980125248 57143479456 85715219184 114286958912 171430438368 342860876736