Search a number
-
+
3005346636 = 2232731143587
BaseRepresentation
bin1011001100100001…
…1111001101001100
321202110002102112200
42303020133031030
522123332043021
61214115001500
7134322011355
oct26310371514
97673072480
103005346636
111302492456
126ba599290
1338b837026
142071d8d2c
15128c9d126
hexb321f34c

3005346636 has 36 divisors (see below), whose sum is σ = 7700921592. Its totient is φ = 988058304.

The previous prime is 3005346629. The next prime is 3005346637. The reversal of 3005346636 is 6366435003.

It is a happy number.

3005346636 is a `hidden beast` number, since 30 + 0 + 534 + 66 + 36 = 666.

3005346636 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3005346636.

It is not an unprimeable number, because it can be changed into a prime (3005346637) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 569166 + ... + 574421.

Almost surely, 23005346636 is an apocalyptic number.

3005346636 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3005346636 is an abundant number, since it is smaller than the sum of its proper divisors (4695574956).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3005346636 is a wasteful number, since it uses less digits than its factorization.

3005346636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1143670 (or 1143665 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 36.

The square root of 3005346636 is about 54821.0419091064. The cubic root of 3005346636 is about 1443.1058599759.

The spelling of 3005346636 in words is "three billion, five million, three hundred forty-six thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 73 146 219 292 438 657 876 1314 2628 1143587 2287174 3430761 4574348 6861522 10292283 13723044 20584566 41169132 83481851 166963702 250445553 333927404 500891106 751336659 1001782212 1502673318 3005346636