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3007080 = 233258353
BaseRepresentation
bin1011011110001001101000
312122202221100
423132021220
51232211310
6144241400
734362666
oct13361150
95582840
103007080
11177429a
121010260
1381394b
14583c36
153e5ec0
hex2de268

3007080 has 48 divisors (see below), whose sum is σ = 9774180. Its totient is φ = 801792.

The previous prime is 3007057. The next prime is 3007091. The reversal of 3007080 is 807003.

3007080 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 2 ways, for example, as 3006756 + 324 = 1734^2 + 18^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 3817 + ... + 4536.

Almost surely, 23007080 is an apocalyptic number.

3007080 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3007080 is an abundant number, since it is smaller than the sum of its proper divisors (6767100).

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

3007080 is a wasteful number, since it uses less digits than its factorization.

3007080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8370 (or 8363 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 3007080 is about 1734.0934230888. The cubic root of 3007080 is about 144.3383248610.

The spelling of 3007080 in words is "three million, seven thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 8353 16706 25059 33412 41765 50118 66824 75177 83530 100236 125295 150354 167060 200472 250590 300708 334120 375885 501180 601416 751770 1002360 1503540 3007080