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3042912 = 253291093
BaseRepresentation
bin1011100110111001100000
312201121002110
423212321200
51234333122
6145115320
734602315
oct13467140
95647073
103042912
111799204
121028b40
13827052
14592d0c
1540190c
hex2e6e60

3042912 has 48 divisors (see below), whose sum is σ = 8270640. Its totient is φ = 978432.

The previous prime is 3042911. The next prime is 3042913. The reversal of 3042912 is 2192403.

3042912 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 (3042911) and next prime (3042913).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3042911) 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, 2238 + ... + 3330.

It is an arithmetic number, because the mean of its divisors is an integer number (172305).

Almost surely, 23042912 is an apocalyptic number.

3042912 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 3042912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4135320).

3042912 is an abundant number, since it is smaller than the sum of its proper divisors (5227728).

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

3042912 is a wasteful number, since it uses less digits than its factorization.

3042912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1135 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 3042912 is about 1744.3944508052. The cubic root of 3042912 is about 144.9093686506.

The spelling of 3042912 in words is "three million, forty-two thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 348 464 696 928 1093 1392 2186 2784 3279 4372 6558 8744 13116 17488 26232 31697 34976 52464 63394 95091 104928 126788 190182 253576 380364 507152 760728 1014304 1521456 3042912