Search a number
-
+
348504880641 = 31922089154043
BaseRepresentation
bin1010001001001001000…
…00100111011000000001
31020022112220102021011220
411010210200213120001
521202214222140031
6424033445025253
734115163415461
oct5044440473001
91208486367156
10348504880641
11124888a13015
12576616b5229
1326b2cbc7a08
1412c2107dba1
1590eab70596
hex5124827601

348504880641 has 24 divisors (see below), whose sum is σ = 490654787040. Its totient is φ = 220001552064.

The previous prime is 348504880639. The next prime is 348504880709. The reversal of 348504880641 is 146088405843.

It is not a de Polignac number, because 348504880641 - 21 = 348504880639 is a prime.

It is a super-3 number, since 3×3485048806413 (a number of 36 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (348504880621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2185366 + ... + 2339408.

It is an arithmetic number, because the mean of its divisors is an integer number (20443949460).

Almost surely, 2348504880641 is an apocalyptic number.

It is an amenable number.

348504880641 is a deficient number, since it is larger than the sum of its proper divisors (142149906399).

348504880641 is a wasteful number, since it uses less digits than its factorization.

348504880641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156173 (or 156154 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 51.

The spelling of 348504880641 in words is "three hundred forty-eight billion, five hundred four million, eight hundred eighty thousand, six hundred forty-one".

Divisors: 1 3 19 57 361 1083 2089 6267 39691 119073 154043 462129 754129 2262387 2926817 8780451 55609523 166828569 321795827 965387481 6114120713 18342362139 116168293547 348504880641