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3227648 = 214197
BaseRepresentation
bin1100010100000000000000
320001222111112
430110000000
51311241043
6153102452
736302024
oct14240000
96058445
103227648
111904a86
1210b7a28
13890168
14600384
1543b518
hex314000

3227648 has 30 divisors (see below), whose sum is σ = 6487866. Its totient is φ = 1605632.

The previous prime is 3227641. The next prime is 3227669. The reversal of 3227648 is 8467223.

It can be written as a sum of positive squares in only one way, i.e., 3211264 + 16384 = 1792^2 + 128^2 .

It is a super-2 number, since 2×32276482 = 20835423223808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3227641) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16286 + ... + 16482.

Almost surely, 23227648 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 3227648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3243933).

3227648 is an abundant number, since it is smaller than the sum of its proper divisors (3260218).

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

3227648 is an frugal number, since it uses more digits than its factorization.

3227648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 199 counting only the distinct ones).

The product of its digits is 16128, while the sum is 32.

The square root of 3227648 is about 1796.5656124951. The cubic root of 3227648 is about 147.7844439344.

It can be divided in two parts, 32 and 27648, that multiplied together give a cube (884736 = 963).

The spelling of 3227648 in words is "three million, two hundred twenty-seven thousand, six hundred forty-eight".

Divisors: 1 2 4 8 16 32 64 128 197 256 394 512 788 1024 1576 2048 3152 4096 6304 8192 12608 16384 25216 50432 100864 201728 403456 806912 1613824 3227648