Search a number
-
+
3405346561 = 22928015309
BaseRepresentation
bin1100101011111001…
…0111011100000001
322210022202112021201
43022332113130001
523433232042221
61321524221201
7150246653041
oct31276273401
98708675251
103405346561
111498258301
127b053a801
13423678586
1424439d721
1514de61891
hexcaf97701

3405346561 has 8 divisors (see below), whose sum is σ = 3422082600. Its totient is φ = 3388627200.

The previous prime is 3405346523. The next prime is 3405346667. The reversal of 3405346561 is 1656435043.

It can be written as a sum of positive squares in 4 ways, for example, as 286794225 + 3118552336 = 16935^2 + 55844^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-3405346561 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3405346561.

It is not an unprimeable number, because it can be changed into a prime (3405346501) 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 7 ways as a sum of consecutive naturals, for example, 638775 + ... + 644083.

It is an arithmetic number, because the mean of its divisors is an integer number (427760325).

Almost surely, 23405346561 is an apocalyptic number.

It is an amenable number.

3405346561 is a deficient number, since it is larger than the sum of its proper divisors (16736039).

3405346561 is a wasteful number, since it uses less digits than its factorization.

3405346561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8339.

The product of its (nonzero) digits is 129600, while the sum is 37.

The square root of 3405346561 is about 58355.3473213895. The cubic root of 3405346561 is about 1504.4823789918.

The spelling of 3405346561 in words is "three billion, four hundred five million, three hundred forty-six thousand, five hundred sixty-one".

Divisors: 1 229 2801 5309 641429 1215761 14870509 3405346561