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3067296 = 25389359
BaseRepresentation
bin1011101100110110100000
312202211112120
423230312200
51241123141
6145424240
735033361
oct13546640
95684476
103067296
111805561
12103b080
1383518b
1459bb68
15408c66
hex2ecda0

3067296 has 48 divisors (see below), whose sum is σ = 8164800. Its totient is φ = 1008128.

The previous prime is 3067279. The next prime is 3067297. The reversal of 3067296 is 6927603.

3067296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (3067297) 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, 8365 + ... + 8723.

It is an arithmetic number, because the mean of its divisors is an integer number (170100).

Almost surely, 23067296 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 3067296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4082400).

3067296 is an abundant number, since it is smaller than the sum of its proper divisors (5097504).

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

3067296 is a wasteful number, since it uses less digits than its factorization.

3067296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 33.

The square root of 3067296 is about 1751.3697496531. The cubic root of 3067296 is about 145.2954104310.

The spelling of 3067296 in words is "three million, sixty-seven thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 89 96 178 267 356 359 534 712 718 1068 1077 1424 1436 2136 2154 2848 2872 4272 4308 5744 8544 8616 11488 17232 31951 34464 63902 95853 127804 191706 255608 383412 511216 766824 1022432 1533648 3067296