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352490147343306 = 2327215831173121521
BaseRepresentation
bin101000000100101101000001…
…0000001001110101111001010
31201020001201200102122121002200
41100021122002001032233022
5332200144310204441211
63245403423241141030
7134150400310330200
oct12011320201165712
91636051612577080
10352490147343306
11a235026085a005
123364ab5118a776
131218b8a81cb33b
146308885387070
152ab4127128b56
hex140968204ebca

352490147343306 has 144 divisors (see below), whose sum is σ = 889097361280128. Its totient is φ = 100634594054400.

The previous prime is 352490147343293. The next prime is 352490147343337. The reversal of 352490147343306 is 603343741094253.

It is a happy number.

352490147343306 is a `hidden beast` number, since 3 + 5 + 2 + 490 + 14 + 73 + 43 + 30 + 6 = 666.

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 71 ways as a sum of consecutive naturals, for example, 16378881826 + ... + 16378903346.

It is an arithmetic number, because the mean of its divisors is an integer number (6174287231112).

Almost surely, 2352490147343306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 352490147343306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444548680640064).

352490147343306 is an abundant number, since it is smaller than the sum of its proper divisors (536607213936822).

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

352490147343306 is a wasteful number, since it uses less digits than its factorization.

352490147343306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34857 (or 34847 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 54.

The spelling of 352490147343306 in words is "three hundred fifty-two trillion, four hundred ninety billion, one hundred forty-seven million, three hundred forty-three thousand, three hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 441 882 1583 3166 4749 9498 11081 11731 14247 21521 22162 23462 28494 33243 35193 43042 64563 66486 70386 77567 82117 99729 105579 129126 150647 155134 164234 193689 199458 211158 232701 246351 301294 387378 451941 465402 492702 574819 698103 739053 903882 1054529 1149638 1355823 1396206 1478106 1724457 2109058 2711646 3163587 3448914 5173371 6327174 9490761 10346742 18570173 18981522 34067743 37140346 55710519 68135486 102203229 111421038 129991211 167131557 204406458 238474201 252462851 259982422 306609687 334263114 389973633 476948402 504925702 613219374 715422603 757388553 779947266 909938477 1169920899 1430845206 1514777106 1669319407 1767239957 1819876954 2146267809 2272165659 2339841798 2729815431 3338638814 3534479914 4292535618 4544331318 5007958221 5301719871 5459630862 8189446293 10015916442 10603439742 12370679699 15023874663 15905159613 16378892586 24741359398 30047749326 31810319226 37112039097 74224078194 111336117291 222672234582 399648693133 799297386266 1198946079399 2397892158798 2797540851931 3596838238197 5595081703862 7193676476394 8392622555793 16785245111586 19582785963517 25177867667379 39165571927034 50355735334758 58748357890551 117496715781102 176245073671653 352490147343306