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3000978 = 232295749
BaseRepresentation
bin1011011100101010010010
312122110120100
423130222102
51232012403
6144153230
734336131
oct13345222
95573510
103000978
11176a752
121008816
13810c36
14581918
153e42a3
hex2dca92

3000978 has 24 divisors (see below), whose sum is σ = 6727500. Its totient is φ = 965664.

The previous prime is 3000967. The next prime is 3000979. The reversal of 3000978 is 8790003.

It is a happy number.

3000978 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 2712609 + 288369 = 1647^2 + 537^2 .

It is not an unprimeable number, because it can be changed into a prime (3000979) 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 11 ways as a sum of consecutive naturals, for example, 2353 + ... + 3396.

Almost surely, 23000978 is an apocalyptic number.

3000978 is an abundant number, since it is smaller than the sum of its proper divisors (3726522).

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

3000978 is a wasteful number, since it uses less digits than its factorization.

3000978 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5786 (or 5783 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 3000978 is about 1732.3331088448. Note that the first 3 decimals coincide. The cubic root of 3000978 is about 144.2406277733.

The spelling of 3000978 in words is "three million, nine hundred seventy-eight", and thus it is an aban number.

Divisors: 1 2 3 6 9 18 29 58 87 174 261 522 5749 11498 17247 34494 51741 103482 166721 333442 500163 1000326 1500489 3000978