Search a number
-
+
3384448 = 27137193
BaseRepresentation
bin1100111010010010000000
320100221120221
430322102000
51331300243
6200312424
740524124
oct14722200
96327527
103384448
111a01871
121172714
13916642
14641584
1546cbed
hex33a480

3384448 has 32 divisors (see below), whose sum is σ = 6826860. Its totient is φ = 1671168.

The previous prime is 3384431. The next prime is 3384461. The reversal of 3384448 is 8444833.

It can be written as a sum of positive squares in 2 ways, for example, as 3356224 + 28224 = 1832^2 + 168^2 .

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

It is a super-2 number, since 2×33844482 = 22908976529408, which contains 22 as substring.

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, 17440 + ... + 17632.

Almost surely, 23384448 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 3384448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3413430).

3384448 is an abundant number, since it is smaller than the sum of its proper divisors (3442412).

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

3384448 is a wasteful number, since it uses less digits than its factorization.

3384448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 332 counting only the distinct ones).

The product of its digits is 36864, while the sum is 34.

The square root of 3384448 is about 1839.6869298878. The cubic root of 3384448 is about 150.1398399618.

The spelling of 3384448 in words is "three million, three hundred eighty-four thousand, four hundred forty-eight".

Divisors: 1 2 4 8 16 32 64 128 137 193 274 386 548 772 1096 1544 2192 3088 4384 6176 8768 12352 17536 24704 26441 52882 105764 211528 423056 846112 1692224 3384448