Search a number
-
+
340540046361 = 32172225751937
BaseRepresentation
bin1001111010010011100…
…01001011110000011001
31012112222211011202120200
410331021301023300121
521034411222440421
6420235243012413
733413620430334
oct4751161136031
91175884152520
10340540046361
11121470a84149
1255bba20a109
1326160a47c18
14126a732b61b
158cd17be726
hex4f49c4bc19

340540046361 has 12 divisors (see below), whose sum is σ = 520825953492. Its totient is φ = 213672185856.

The previous prime is 340540046339. The next prime is 340540046437. The reversal of 340540046361 is 163640045043.

340540046361 is a `hidden beast` number, since 3 + 40 + 540 + 0 + 46 + 36 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 191455253136 + 149084793225 = 437556^2 + 386115^2 .

It is not a de Polignac number, because 340540046361 - 210 = 340540045337 is a prime.

It is not an unprimeable number, because it can be changed into a prime (340540046311) 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 11 ways as a sum of consecutive naturals, for example, 1112875816 + ... + 1112876121.

It is an arithmetic number, because the mean of its divisors is an integer number (43402162791).

Almost surely, 2340540046361 is an apocalyptic number.

It is an amenable number.

340540046361 is a deficient number, since it is larger than the sum of its proper divisors (180285907131).

340540046361 is a wasteful number, since it uses less digits than its factorization.

340540046361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2225751960 (or 2225751957 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 340540046361 in words is "three hundred forty billion, five hundred forty million, forty-six thousand, three hundred sixty-one".

Divisors: 1 3 9 17 51 153 2225751937 6677255811 20031767433 37837782929 113513348787 340540046361