Search a number
-
+
348023608341 = 3314387027659
BaseRepresentation
bin1010001000001111101…
…00101101010000010101
31020021022100211002200220
411010013310231100111
521200223020431331
6423514013424553
734100230601313
oct5040764552025
91207270732626
10348023608341
11124661288012
125754849b159
1326a8429bbc6
1412bb71a10b3
1590bd7a6296
hex5107d2d415

348023608341 has 16 divisors (see below), whose sum is σ = 490139781120. Its totient is φ = 219309698160.

The previous prime is 348023608307. The next prime is 348023608351. The reversal of 348023608341 is 143806320843.

It is not a de Polignac number, because 348023608341 - 26 = 348023608277 is a prime.

It is a super-2 number, since 2×3480236083412 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 348023608293 and 348023608302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (348023608301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43509831 + ... + 43517828.

It is an arithmetic number, because the mean of its divisors is an integer number (30633736320).

Almost surely, 2348023608341 is an apocalyptic number.

348023608341 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

348023608341 is a deficient number, since it is larger than the sum of its proper divisors (142116172779).

348023608341 is a wasteful number, since it uses less digits than its factorization.

348023608341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87027736.

The product of its (nonzero) digits is 331776, while the sum is 42.

The spelling of 348023608341 in words is "three hundred forty-eight billion, twenty-three million, six hundred eight thousand, three hundred forty-one".

Divisors: 1 3 31 43 93 129 1333 3999 87027659 261082977 2697857429 3742189337 8093572287 11226568011 116007869447 348023608341