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3230208 = 2932701
BaseRepresentation
bin1100010100101000000000
320002010000100
430110220000
51311331313
6153122400
736312342
oct14245000
96063010
103230208
1119069a3
1210b9400
13891387
14601292
1543c173
hex314a00

3230208 has 60 divisors (see below), whose sum is σ = 9335898. Its totient is φ = 1075200.

The previous prime is 3230207. The next prime is 3230237. The reversal of 3230208 is 8020323.

It can be written as a sum of positive squares in only one way, i.e., 2214144 + 1016064 = 1488^2 + 1008^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (3230207) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4258 + ... + 4958.

Almost surely, 23230208 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 3230208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4667949).

3230208 is an abundant number, since it is smaller than the sum of its proper divisors (6105690).

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

3230208 is an equidigital number, since it uses as much as digits as its factorization.

3230208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 725 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3230208 is about 1797.2779417775. The cubic root of 3230208 is about 147.8235052154.

The spelling of 3230208 in words is "three million, two hundred thirty thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 701 768 1152 1402 1536 2103 2304 2804 4206 4608 5608 6309 8412 11216 12618 16824 22432 25236 33648 44864 50472 67296 89728 100944 134592 179456 201888 269184 358912 403776 538368 807552 1076736 1615104 3230208