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3004677 = 321361421
BaseRepresentation
bin1011011101100100000101
312122122122100
423131210011
51232122202
6144222313
734352664
oct13354405
95578570
103004677
111772505
12100a999
13812820
14582ddb
153e541c
hex2dd905

3004677 has 24 divisors (see below), whose sum is σ = 4761848. Its totient is φ = 1814400.

The previous prime is 3004669. The next prime is 3004681. The reversal of 3004677 is 7764003.

3004677 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 599076 + 2405601 = 774^2 + 1551^2 .

It is not a de Polignac number, because 3004677 - 23 = 3004669 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 3004677.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3004637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6927 + ... + 7347.

Almost surely, 23004677 is an apocalyptic number.

It is an amenable number.

3004677 is a deficient number, since it is larger than the sum of its proper divisors (1757171).

3004677 is a wasteful number, since it uses less digits than its factorization.

3004677 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 3004677 is about 1733.4004153686. The cubic root of 3004677 is about 144.2998670187.

The spelling of 3004677 in words is "three million, four thousand, six hundred seventy-seven".

Divisors: 1 3 9 13 39 61 117 183 421 549 793 1263 2379 3789 5473 7137 16419 25681 49257 77043 231129 333853 1001559 3004677