Search a number
-
+
3238128 = 2432113199
BaseRepresentation
bin1100010110100011110000
320002111212200
430112203300
51312110003
6153223200
736344415
oct14264360
96074780
103238128
111911943
121101b00
13894b6a
1460410c
1543e6a3
hex3168f0

3238128 has 60 divisors (see below), whose sum is σ = 9188400. Its totient is φ = 1064448.

The previous prime is 3238127. The next prime is 3238133. The reversal of 3238128 is 8218323.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3238121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16173 + ... + 16371.

It is an arithmetic number, because the mean of its divisors is an integer number (153140).

Almost surely, 23238128 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 3238128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4594200).

3238128 is an abundant number, since it is smaller than the sum of its proper divisors (5950272).

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

3238128 is a wasteful number, since it uses less digits than its factorization.

3238128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 317 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 3238128 is about 1799.4799248672. The cubic root of 3238128 is about 147.9442205188.

The spelling of 3238128 in words is "three million, two hundred thirty-eight thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 113 144 199 226 339 398 452 597 678 796 904 1017 1194 1356 1592 1791 1808 2034 2388 2712 3184 3582 4068 4776 5424 7164 8136 9552 14328 16272 22487 28656 44974 67461 89948 134922 179896 202383 269844 359792 404766 539688 809532 1079376 1619064 3238128