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3306368 = 27131987
BaseRepresentation
bin1100100111001110000000
320012222111002
430213032000
51321300433
6154511132
740050362
oct14471600
96188432
103306368
11195913a
1211354a8
138b9c40
14620d32
154549e8
hex327380

3306368 has 32 divisors (see below), whose sum is σ = 7097160. Its totient is φ = 1525248.

The previous prime is 3306349. The next prime is 3306371. The reversal of 3306368 is 8636033.

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 3306368.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 671 + ... + 2657.

Almost surely, 23306368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3306368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3548580).

3306368 is an abundant number, since it is smaller than the sum of its proper divisors (3790792).

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

3306368 is a wasteful number, since it uses less digits than its factorization.

3306368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2014 (or 2002 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 29.

The square root of 3306368 is about 1818.3421020259. The cubic root of 3306368 is about 148.9762585478.

The spelling of 3306368 in words is "three million, three hundred six thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 416 832 1664 1987 3974 7948 15896 25831 31792 51662 63584 103324 127168 206648 254336 413296 826592 1653184 3306368