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3007780 = 2251011489
BaseRepresentation
bin1011011110010100100100
312122210220021
423132110210
51232222110
6144244524
734365016
oct13362444
95583807
103007780
111774876
121010744
13814069
145841b6
153e62da
hex2de524

3007780 has 24 divisors (see below), whose sum is σ = 6383160. Its totient is φ = 1190400.

The previous prime is 3007777. The next prime is 3007783. The reversal of 3007780 is 877003.

3007780 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3007777) and next prime (3007783).

It can be written as a sum of positive squares in 4 ways, for example, as 599076 + 2408704 = 774^2 + 1552^2 .

It is not an unprimeable number, because it can be changed into a prime (3007783) 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 7 ways as a sum of consecutive naturals, for example, 1276 + ... + 2764.

It is an arithmetic number, because the mean of its divisors is an integer number (265965).

Almost surely, 23007780 is an apocalyptic number.

It is an amenable number.

3007780 is an abundant number, since it is smaller than the sum of its proper divisors (3375380).

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

3007780 is a wasteful number, since it uses less digits than its factorization.

3007780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1599 (or 1597 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 25.

The square root of 3007780 is about 1734.2952459140. The cubic root of 3007780 is about 144.3495238745.

The spelling of 3007780 in words is "three million, seven thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 20 101 202 404 505 1010 1489 2020 2978 5956 7445 14890 29780 150389 300778 601556 751945 1503890 3007780