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3014768 = 241947211
BaseRepresentation
bin1011100000000001110000
312200011111002
423200001300
51232433033
6144341132
734424261
oct13400160
95604432
103014768
11177a049
1210147a8
138172b3
14586968
153e83e8
hex2e0070

3014768 has 40 divisors (see below), whose sum is σ = 6309120. Its totient is φ = 1391040.

The previous prime is 3014747. The next prime is 3014777. The reversal of 3014768 is 8674103.

It is a self number, because there is not a number n which added to its sum of digits gives 3014768.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14183 + ... + 14393.

It is an arithmetic number, because the mean of its divisors is an integer number (157728).

Almost surely, 23014768 is an apocalyptic number.

3014768 is a gapful number since it is divisible by the number (38) 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 3014768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3154560).

3014768 is an abundant number, since it is smaller than the sum of its proper divisors (3294352).

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

3014768 is a wasteful number, since it uses less digits than its factorization.

3014768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 3014768 is about 1736.3087283084. The cubic root of 3014768 is about 144.4612268907.

The spelling of 3014768 in words is "three million, fourteen thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 19 38 47 76 94 152 188 211 304 376 422 752 844 893 1688 1786 3376 3572 4009 7144 8018 9917 14288 16036 19834 32072 39668 64144 79336 158672 188423 376846 753692 1507384 3014768