Search a number
-
+
3405008461 = 13172735753
BaseRepresentation
bin1100101011110100…
…0100111001001101
322210022010100111111
43022331010321031
523433140232321
61321513052021
7150244044241
oct31275047115
98708110444
103405008461
111498047288
127b03b7011
1342358a70a
14244312421
1514dde65e1
hexcaf44e4d

3405008461 has 8 divisors (see below), whose sum is σ = 3435816384. Its totient is φ = 3374273760.

The previous prime is 3405008459. The next prime is 3405008501. The reversal of 3405008461 is 1648005043.

It is a happy number.

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

It is a cyclic number.

It is not a de Polignac number, because 3405008461 - 21 = 3405008459 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3405008261) 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, 77361 + ... + 113113.

It is an arithmetic number, because the mean of its divisors is an integer number (429477048).

Almost surely, 23405008461 is an apocalyptic number.

It is an amenable number.

3405008461 is a deficient number, since it is larger than the sum of its proper divisors (30807923).

3405008461 is a wasteful number, since it uses less digits than its factorization.

3405008461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36611.

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 3405008461 is about 58352.4503427234. The cubic root of 3405008461 is about 1504.4325864750.

The spelling of 3405008461 in words is "three billion, four hundred five million, eight thousand, four hundred sixty-one".

Divisors: 1 131 727 35753 95237 4683643 25992431 3405008461