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34305003341 = 7317311731097
BaseRepresentation
bin11111111100101111…
…001100111101001101
310021112202220201202022
4133330233030331031
51030224040101331
623432015135525
72323052501000
oct377457147515
9107482821668
1034305003341
1113604309834
1267948145a5
133309246a5b
1419360b5537
15d5ba4a67b
hex7fcbccf4d

34305003341 has 64 divisors (see below), whose sum is σ = 44018380800. Its totient is φ = 26602813440.

The previous prime is 34305003281. The next prime is 34305003353. The reversal of 34305003341 is 14330050343.

It is a happy number.

It is not a de Polignac number, because 34305003341 - 214 = 34304986957 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 34305003341.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34305003391) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31271105 + ... + 31272201.

It is an arithmetic number, because the mean of its divisors is an integer number (687787200).

Almost surely, 234305003341 is an apocalyptic number.

34305003341 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

34305003341 is a deficient number, since it is larger than the sum of its proper divisors (9713377459).

34305003341 is a wasteful number, since it uses less digits than its factorization.

34305003341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1339 (or 1325 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 26.

Adding to 34305003341 its reverse (14330050343), we get a palindrome (48635053684).

The spelling of 34305003341 in words is "thirty-four billion, three hundred five million, three thousand, three hundred forty-one".

Divisors: 1 7 17 31 49 119 173 217 343 527 833 1097 1211 1519 2941 3689 5363 5831 7679 8477 10633 18649 20587 25823 34007 37541 53753 59339 91171 130543 144109 180761 189781 238049 262787 376271 578119 638197 913801 1008763 1328467 1666343 1839509 3226277 4046833 4467379 5883211 6396607 9299269 11664401 22583939 28327831 31271653 41182477 65094883 100014587 158087573 198294817 288277339 700102109 1106613011 2017941373 4900714763 34305003341