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3004120 = 235710729
BaseRepresentation
bin1011011101011011011000
312122121212201
423131123120
51232112440
6144215544
734351240
oct13353330
95577781
103004120
111772049
12100a5b4
138124b2
14582b20
153e519a
hex2dd6d8

3004120 has 32 divisors (see below), whose sum is σ = 7725600. Its totient is φ = 1029888.

The previous prime is 3004097. The next prime is 3004123. The reversal of 3004120 is 214003.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 3004097 and 3004106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3004123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5085 + ... + 5644.

It is an arithmetic number, because the mean of its divisors is an integer number (241425).

Almost surely, 23004120 is an apocalyptic number.

It is an amenable number.

3004120 is an abundant number, since it is smaller than the sum of its proper divisors (4721480).

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

3004120 is a wasteful number, since it uses less digits than its factorization.

3004120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10747 (or 10743 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 3004120 is about 1733.2397410630. The cubic root of 3004120 is about 144.2909498103.

Adding to 3004120 its reverse (214003), we get a palindrome (3218123).

The spelling of 3004120 in words is "three million, four thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 10729 21458 42916 53645 75103 85832 107290 150206 214580 300412 375515 429160 600824 751030 1502060 3004120