Search a number
-
+
352243444056 = 233717318166959
BaseRepresentation
bin1010010000000110101…
…10000110100101011000
31020200012110011222001120
411020003112012211120
521232343310202211
6425452435245240
734306630605330
oct5100326064530
91220173158046
10352243444056
11126427272049
1258325749820
13272a760130a
14130977bc0c0
159268ea2d06
hex5203586958

352243444056 has 128 divisors (see below), whose sum is σ = 1017834854400. Its totient is φ = 99504944640.

The previous prime is 352243444051. The next prime is 352243444057. The reversal of 352243444056 is 650444342253.

It is a happy number.

It is a super-2 number, since 2×3522434440562 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 352243443999 and 352243444017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (352243444051) 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, 5227105 + ... + 5294063.

It is an arithmetic number, because the mean of its divisors is an integer number (7951834800).

Almost surely, 2352243444056 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 352243444056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508917427200).

352243444056 is an abundant number, since it is smaller than the sum of its proper divisors (665591410344).

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

352243444056 is a wasteful number, since it uses less digits than its factorization.

352243444056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67329 (or 67325 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 42.

The spelling of 352243444056 in words is "three hundred fifty-two billion, two hundred forty-three million, four hundred forty-four thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 173 181 346 362 519 543 692 724 1038 1086 1211 1267 1384 1448 2076 2172 2422 2534 3633 3801 4152 4344 4844 5068 7266 7602 9688 10136 14532 15204 29064 30408 31313 62626 66959 93939 125252 133918 187878 200877 219191 250504 267836 375756 401754 438382 468713 535672 657573 751512 803508 876764 937426 1315146 1406139 1607016 1753528 1874852 2630292 2812278 3749704 5260584 5624556 11249112 11583907 12119579 23167814 24239158 34751721 36358737 46335628 48478316 69503442 72717474 81087349 84837053 92671256 96956632 139006884 145434948 162174698 169674106 243262047 254511159 278013768 290869896 324349396 339348212 486524094 509022318 648698792 678696424 973048188 1018044636 1946096376 2036089272 2096687167 4193374334 6290061501 8386748668 12580123002 14676810169 16773497336 25160246004 29353620338 44030430507 50320492008 58707240676 88060861014 117414481352 176121722028 352243444056