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3385248 = 253179197
BaseRepresentation
bin1100111010011110100000
320100222200120
430322132200
51331311443
6200320240
740526346
oct14723640
96328616
103385248
111a02429
121173080
13916b09
14641996
1546d083
hex33a7a0

3385248 has 48 divisors (see below), whose sum is σ = 8981280. Its totient is φ = 1116416.

The previous prime is 3385223. The next prime is 3385253. The reversal of 3385248 is 8425833.

3385248 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 a super-2 number, since 2×33852482 = 22919808043008, which contains 22 as substring.

It is an unprimeable number.

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, 17086 + ... + 17282.

It is an arithmetic number, because the mean of its divisors is an integer number (187110).

Almost surely, 23385248 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 3385248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4490640).

3385248 is an abundant number, since it is smaller than the sum of its proper divisors (5596032).

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

3385248 is a wasteful number, since it uses less digits than its factorization.

3385248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 381 counting only the distinct ones).

The product of its digits is 23040, while the sum is 33.

The square root of 3385248 is about 1839.9043453397. The cubic root of 3385248 is about 150.1516688143.

The spelling of 3385248 in words is "three million, three hundred eighty-five thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 179 197 358 394 537 591 716 788 1074 1182 1432 1576 2148 2364 2864 3152 4296 4728 5728 6304 8592 9456 17184 18912 35263 70526 105789 141052 211578 282104 423156 564208 846312 1128416 1692624 3385248