Search a number
-
+
361064643342 = 231323457440399
BaseRepresentation
bin1010100000100010010…
…00010011101100001110
31021111222012211022121020
411100101020103230032
521403430022041332
6433512032215010
735041342554444
oct5202110235416
91244865738536
10361064643342
1112a14363a697
1259b8799a466
132808200a570
141369316cb94
1595d361182c
hex5411213b0e

361064643342 has 64 divisors (see below), whose sum is σ = 813267302400. Its totient is φ = 106033745664.

The previous prime is 361064643337. The next prime is 361064643343. The reversal of 361064643342 is 243346460163.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 361064643294 and 361064643303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (361064643343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 599659 + ... + 1040057.

It is an arithmetic number, because the mean of its divisors is an integer number (12707301600).

Almost surely, 2361064643342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 361064643342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406633651200).

361064643342 is an abundant number, since it is smaller than the sum of its proper divisors (452202659058).

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

361064643342 is a wasteful number, since it uses less digits than its factorization.

361064643342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440897.

The product of its (nonzero) digits is 746496, while the sum is 42.

The spelling of 361064643342 in words is "three hundred sixty-one billion, sixty-four million, six hundred forty-three thousand, three hundred forty-two".

Divisors: 1 2 3 6 13 23 26 39 46 69 78 138 299 457 598 897 914 1371 1794 2742 5941 10511 11882 17823 21022 31533 35646 63066 136643 273286 409929 440399 819858 880798 1321197 2642394 5725187 10129177 11450374 17175561 20258354 30387531 34351122 60775062 131679301 201262343 263358602 395037903 402524686 603787029 790075806 1207574058 2616410459 4629033889 5232820918 7849231377 9258067778 13887101667 15698462754 27774203334 60177440557 120354881114 180532321671 361064643342