Search a number
-
+
3233772 = 2232432089
BaseRepresentation
bin1100010101011111101100
320002021220100
430111133230
51311440042
6153151100
736325623
oct14253754
96067810
103233772
111909643
1210bb490
13892b99
146026ba
1543d24c
hex3157ec

3233772 has 36 divisors (see below), whose sum is σ = 8368360. Its totient is φ = 1052352.

The previous prime is 3233771. The next prime is 3233773. The reversal of 3233772 is 2773323.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3233771) and next prime (3233773).

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (3233771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 504 + ... + 2592.

Almost surely, 23233772 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 3233772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4184180).

3233772 is an abundant number, since it is smaller than the sum of its proper divisors (5134588).

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

3233772 is a wasteful number, since it uses less digits than its factorization.

3233772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2142 (or 2137 counting only the distinct ones).

The product of its digits is 5292, while the sum is 27.

The square root of 3233772 is about 1798.2691678389. The cubic root of 3233772 is about 147.8778514918.

It can be divided in two parts, 3233 and 772, that added together give a triangular number (4005 = T89).

The spelling of 3233772 in words is "three million, two hundred thirty-three thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 43 86 129 172 258 387 516 774 1548 2089 4178 6267 8356 12534 18801 25068 37602 75204 89827 179654 269481 359308 538962 808443 1077924 1616886 3233772