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3076512 = 25373439
BaseRepresentation
bin1011101111000110100000
312210022011220
423233012200
51241422022
6145535040
735102265
oct13570640
95708156
103076512
11181147a
121044480
1383942a
145a126c
1540b85c
hex2ef1a0

3076512 has 48 divisors (see below), whose sum is σ = 8205120. Its totient is φ = 1009152.

The previous prime is 3076511. The next prime is 3076529. The reversal of 3076512 is 2156703.

3076512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×30765122 = 18929852172288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (3076511) 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, 6789 + ... + 7227.

It is an arithmetic number, because the mean of its divisors is an integer number (170940).

Almost surely, 23076512 is an apocalyptic number.

3076512 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3076512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4102560).

3076512 is an abundant number, since it is smaller than the sum of its proper divisors (5128608).

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

3076512 is a wasteful number, since it uses less digits than its factorization.

3076512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 3076512 is about 1753.9988597488. The cubic root of 3076512 is about 145.4407831676.

The spelling of 3076512 in words is "three million, seventy-six thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 73 96 146 219 292 438 439 584 876 878 1168 1317 1752 1756 2336 2634 3504 3512 5268 7008 7024 10536 14048 21072 32047 42144 64094 96141 128188 192282 256376 384564 512752 769128 1025504 1538256 3076512