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3404344041 = 327212316271
BaseRepresentation
bin1100101011101010…
…0010101011101001
322210020212121002100
43022322202223221
523433003002131
61321450524013
7150235306200
oct31272425351
98706777070
103404344041
11149773307a
127b0136609
134233b7177
142441bc237
1514dd147e6
hexcaea2ae9

3404344041 has 36 divisors (see below), whose sum is σ = 5725784064. Its totient is φ = 1943449200.

The previous prime is 3404344037. The next prime is 3404344079. The reversal of 3404344041 is 1404434043.

It is not a de Polignac number, because 3404344041 - 22 = 3404344037 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3404343996 and 3404344014.

It is not an unprimeable number, because it can be changed into a prime (3404345041) 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 35 ways as a sum of consecutive naturals, for example, 539736 + ... + 546006.

Almost surely, 23404344041 is an apocalyptic number.

It is an amenable number.

3404344041 is a deficient number, since it is larger than the sum of its proper divisors (2321440023).

3404344041 is a wasteful number, since it uses less digits than its factorization.

3404344041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7522 (or 7512 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 3404344041 is about 58346.7569021621. The cubic root of 3404344041 is about 1504.3347266965.

Adding to 3404344041 its reverse (1404434043), we get a palindrome (4808778084).

The spelling of 3404344041 in words is "three billion, four hundred four million, three hundred forty-four thousand, forty-one".

Divisors: 1 3 7 9 21 49 63 147 441 1231 3693 6271 8617 11079 18813 25851 43897 56439 60319 77553 131691 180957 307279 395073 542871 921837 2765511 7719601 23158803 54037207 69476409 162111621 378260449 486334863 1134781347 3404344041