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3078912 = 28319211
BaseRepresentation
bin1011101111101100000000
312210102110210
423233230000
51242011122
6145554120
735112264
oct13575400
95712423
103078912
111813261
121045940
1383a555
145a20a4
1540c40c
hex2efb00

3078912 has 72 divisors (see below), whose sum is σ = 8666560. Its totient is φ = 967680.

The previous prime is 3078899. The next prime is 3078919. The reversal of 3078912 is 2198703.

It is a happy number.

3078912 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 3078912.

It is not an unprimeable number, because it can be changed into a prime (3078919) 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, 14487 + ... + 14697.

Almost surely, 23078912 is an apocalyptic number.

3078912 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 3078912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4333280).

3078912 is an abundant number, since it is smaller than the sum of its proper divisors (5587648).

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

3078912 is a wasteful number, since it uses less digits than its factorization.

3078912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 3078912 is about 1754.6828773314. The cubic root of 3078912 is about 145.4785929938.

The spelling of 3078912 in words is "three million, seventy-eight thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 211 228 256 304 384 422 456 608 633 768 844 912 1216 1266 1688 1824 2432 2532 3376 3648 4009 4864 5064 6752 7296 8018 10128 12027 13504 14592 16036 20256 24054 27008 32072 40512 48108 54016 64144 81024 96216 128288 162048 192432 256576 384864 513152 769728 1026304 1539456 3078912