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348540823995 = 357133113592287
BaseRepresentation
bin1010001001001101010…
…01101110100110111011
31020022122102001101012020
411010212221232212323
521202302422331440
6424041211245523
734116111056550
oct5044651564673
91208572041166
10348540823995
111248a7232871
12576717498a3
1326b374a0c80
1412c25b58a27
1590eddc03d0
hex5126a6e9bb

348540823995 has 128 divisors (see below), whose sum is σ = 690784174080. Its totient is φ = 146131361280.

The previous prime is 348540823993. The next prime is 348540824041. The reversal of 348540823995 is 599328045843.

It is not a de Polignac number, because 348540823995 - 21 = 348540823993 is a prime.

It is a super-2 number, since 2×3485408239952 (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (348540823991) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 152399742 + ... + 152402028.

It is an arithmetic number, because the mean of its divisors is an integer number (5396751360).

Almost surely, 2348540823995 is an apocalyptic number.

348540823995 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

348540823995 is a deficient number, since it is larger than the sum of its proper divisors (342243350085).

348540823995 is a wasteful number, since it uses less digits than its factorization.

348540823995 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2985.

The product of its (nonzero) digits is 37324800, while the sum is 60.

The spelling of 348540823995 in words is "three hundred forty-eight billion, five hundred forty million, eight hundred twenty-three thousand, nine hundred ninety-five".

Divisors: 1 3 5 7 13 15 21 35 39 65 91 105 195 273 311 359 455 933 1077 1365 1555 1795 2177 2287 2513 4043 4665 4667 5385 6531 6861 7539 10885 11435 12129 12565 14001 16009 20215 23335 28301 29731 32655 32669 34305 37695 48027 60645 70005 80045 84903 89193 98007 111649 141505 148655 163345 208117 240135 334947 424515 445965 490035 558245 624351 711257 781543 821033 1040585 1451437 1674735 2133771 2344629 2463099 3121755 3556285 3907715 4105165 4354311 4978799 5747231 7257185 9246341 10160059 10668855 10673429 11723145 12315495 14936397 17241693 21771555 24893995 27739023 28736155 30480177 32020287 46231705 50800295 53367145 64724387 74681985 74714003 86208465 138695115 152400885 160101435 194173161 224142009 255341263 323621935 373570015 766023789 970865805 1120710045 1276706315 1787388841 3319436419 3830118945 5362166523 8936944205 9958309257 16597182095 23236054933 26810832615 49791546285 69708164799 116180274665 348540823995