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352114112034 = 2321941109123017
BaseRepresentation
bin1010001111110111010…
…00101111011000100010
31020122212102211012212200
411013323220233120202
521232112203041114
6425431535234030
734303500366126
oct5077350573042
91218772735780
10352114112034
11126370266a83
12582aa378916
132728688a8a9
1413084553586
15925c957409
hex51fba2f622

352114112034 has 96 divisors (see below), whose sum is σ = 823444090560. Its totient is φ = 108377740800.

The previous prime is 352114112029. The next prime is 352114112039. The reversal of 352114112034 is 430211411253.

352114112034 is a `hidden beast` number, since 3 + 5 + 211 + 411 + 2 + 0 + 34 = 666.

It is an interprime number because it is at equal distance from previous prime (352114112029) and next prime (352114112039).

It is a junction number, because it is equal to n+sod(n) for n = 352114111989 and 352114112007.

It is not an unprimeable number, because it can be changed into a prime (352114112039) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15286494 + ... + 15309510.

It is an arithmetic number, because the mean of its divisors is an integer number (8577542610).

Almost surely, 2352114112034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 352114112034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411722045280).

352114112034 is an abundant number, since it is smaller than the sum of its proper divisors (471329978526).

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

352114112034 is a wasteful number, since it uses less digits than its factorization.

352114112034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24176 (or 24173 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 352114112034 its reverse (430211411253), we get a palindrome (782325523287).

The spelling of 352114112034 in words is "three hundred fifty-two billion, one hundred fourteen million, one hundred twelve thousand, thirty-four".

Divisors: 1 2 3 6 9 18 19 38 41 57 82 114 123 171 246 342 369 738 779 1091 1558 2182 2337 3273 4674 6546 7011 9819 14022 19638 20729 23017 41458 44731 46034 62187 69051 89462 124374 134193 138102 186561 207153 268386 373122 402579 414306 437323 805158 849889 874646 943697 1311969 1699778 1887394 2549667 2623938 2831091 3935907 5099334 5662182 7649001 7871814 8493273 15298002 16986546 17930243 25111547 35860486 50223094 53790729 75334641 107581458 150669282 161372187 226003923 322744374 452007846 477119393 954238786 1029573427 1431358179 2059146854 2862716358 3088720281 4294074537 6177440562 8588149074 9266160843 18532321686 19561895113 39123790226 58685685339 117371370678 176057056017 352114112034