Search a number
-
+
3005604 = 2232711927
BaseRepresentation
bin1011011101110010100100
312122200220200
423131302210
51232134404
6144230500
734355460
oct13356244
95580820
103005604
111773178
12100b430
13813084
145834a0
153e5839
hex2ddca4

3005604 has 36 divisors (see below), whose sum is σ = 8683584. Its totient is φ = 858672.

The previous prime is 3005599. The next prime is 3005609. The reversal of 3005604 is 4065003.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3005599) and next prime (3005609).

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 (18).

It is not an unprimeable number, because it can be changed into a prime (3005609) 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, 5712 + ... + 6215.

Almost surely, 23005604 is an apocalyptic number.

It is an amenable number.

3005604 is an abundant number, since it is smaller than the sum of its proper divisors (5677980).

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

3005604 is a wasteful number, since it uses less digits than its factorization.

3005604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11944 (or 11939 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 3005604 is about 1733.6677882455. The cubic root of 3005604 is about 144.3147052439.

The spelling of 3005604 in words is "three million, five thousand, six hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 11927 23854 35781 47708 71562 83489 107343 143124 166978 214686 250467 333956 429372 500934 751401 1001868 1502802 3005604