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3000972 = 2231319237
BaseRepresentation
bin1011011100101010001100
312122110120010
423130222030
51232012342
6144153220
734336122
oct13345214
95573503
103000972
11176a747
121008810
13810c30
14581912
153e429c
hex2dca8c

3000972 has 24 divisors (see below), whose sum is σ = 7541296. Its totient is φ = 923328.

The previous prime is 3000967. The next prime is 3000979. The reversal of 3000972 is 2790003.

3000972 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 7 ways as a sum of consecutive naturals, for example, 9463 + ... + 9774.

Almost surely, 23000972 is an apocalyptic number.

It is an amenable number.

3000972 is an abundant number, since it is smaller than the sum of its proper divisors (4540324).

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

3000972 is a wasteful number, since it uses less digits than its factorization.

3000972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19257 (or 19255 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 21.

The square root of 3000972 is about 1732.3313770754. The cubic root of 3000972 is about 144.2405316442.

Adding to 3000972 its reverse (2790003), we get a palindrome (5790975).

The spelling of 3000972 in words is "three million, nine hundred seventy-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 19237 38474 57711 76948 115422 230844 250081 500162 750243 1000324 1500486 3000972