Search a number
-
+
3228432 = 243103653
BaseRepresentation
bin1100010100001100010000
320002000120120
430110030100
51311302212
6153110240
736304224
oct14241420
96060516
103228432
111905629
1210b8380
1389061c
14600784
1543b88c
hex314310

3228432 has 40 divisors (see below), whose sum is σ = 8433984. Its totient is φ = 1064064.

The previous prime is 3228427. The next prime is 3228437. The reversal of 3228432 is 2348223.

It is an interprime number because it is at equal distance from previous prime (3228427) and next prime (3228437).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3228437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4618 + ... + 5270.

Almost surely, 23228432 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 3228432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4216992).

3228432 is an abundant number, since it is smaller than the sum of its proper divisors (5205552).

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

3228432 is a wasteful number, since it uses less digits than its factorization.

3228432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 767 (or 761 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 3228432 is about 1796.7837933374. The cubic root of 3228432 is about 147.7964086451.

The spelling of 3228432 in words is "three million, two hundred twenty-eight thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 103 206 309 412 618 653 824 1236 1306 1648 1959 2472 2612 3918 4944 5224 7836 10448 15672 31344 67259 134518 201777 269036 403554 538072 807108 1076144 1614216 3228432