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3065984 = 27171409
BaseRepresentation
bin1011101100100010000000
312202202201222
423230202000
51241102414
6145414212
735026505
oct13544200
95682658
103065984
111804579
12103a368
138346bc
1459b4ac
1540868e
hex2ec880

3065984 has 32 divisors (see below), whose sum is σ = 6471900. Its totient is φ = 1441792.

The previous prime is 3065983. The next prime is 3065989. The reversal of 3065984 is 4895603.

It can be written as a sum of positive squares in 2 ways, for example, as 2958400 + 107584 = 1720^2 + 328^2 .

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

It is not an unprimeable number, because it can be changed into a prime (3065981) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1472 + ... + 2880.

Almost surely, 23065984 is an apocalyptic number.

3065984 is a gapful number since it is divisible by the number (34) 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 3065984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3235950).

3065984 is an abundant number, since it is smaller than the sum of its proper divisors (3405916).

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

3065984 is a wasteful number, since it uses less digits than its factorization.

3065984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1440 (or 1428 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The square root of 3065984 is about 1750.9951456243. The cubic root of 3065984 is about 145.2746913389.

The spelling of 3065984 in words is "three million, sixty-five thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 272 544 1088 1409 2176 2818 5636 11272 22544 23953 45088 47906 90176 95812 180352 191624 383248 766496 1532992 3065984