Search a number
-
+
346544543961 = 327111633067879
BaseRepresentation
bin1010000101011111010…
…10100001100011011001
31020010111021200211210200
411002233222201203121
521134210400401321
6423111140132413
734015461010260
oct5025752414331
91203437624720
10346544543961
11123a723a7060
12571b5097109
13268a9a29b95
1412ab698b5d7
1590339e4d26
hex50afaa18d9

346544543961 has 48 divisors (see below), whose sum is σ = 627909135360. Its totient is φ = 178918644960.

The previous prime is 346544543957. The next prime is 346544544023. The reversal of 346544543961 is 169345445643.

346544543961 is a `hidden beast` number, since 3 + 4 + 6 + 5 + 4 + 4 + 543 + 96 + 1 = 666.

It is not a de Polignac number, because 346544543961 - 22 = 346544543957 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 346544543898 and 346544543907.

It is not an unprimeable number, because it can be changed into a prime (346544543951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1420981 + ... + 1646898.

It is an arithmetic number, because the mean of its divisors is an integer number (13081440320).

Almost surely, 2346544543961 is an apocalyptic number.

It is an amenable number.

346544543961 is a deficient number, since it is larger than the sum of its proper divisors (281364591399).

346544543961 is a wasteful number, since it uses less digits than its factorization.

346544543961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3068066 (or 3068063 counting only the distinct ones).

The product of its digits is 18662400, while the sum is 54.

The spelling of 346544543961 in words is "three hundred forty-six billion, five hundred forty-four million, five hundred forty-three thousand, nine hundred sixty-one".

Divisors: 1 3 7 9 11 21 33 63 77 99 163 231 489 693 1141 1467 1793 3423 5379 10269 12551 16137 37653 112959 3067879 9203637 21475153 27610911 33746669 64425459 101240007 193276377 236226683 303720021 500064277 708680049 1500192831 2126040147 3500449939 4500578493 5500707047 10501349817 16502121141 31504049451 38504949329 49506363423 115514847987 346544543961