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423232 = 2617389
BaseRepresentation
bin1100111010101000000
3210111120021
41213111000
5102020412
613023224
73411625
oct1472500
9714507
10423232
11269a87
12184b14
1311a844
14b034c
1585607
hex67540

423232 has 28 divisors (see below), whose sum is σ = 891540. Its totient is φ = 198656.

The previous prime is 423229. The next prime is 423233. The reversal of 423232 is 232324.

It can be written as a sum of positive squares in 2 ways, for example, as 215296 + 207936 = 464^2 + 456^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (423233) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 894 + ... + 1282.

2423232 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 423232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445770).

423232 is an abundant number, since it is smaller than the sum of its proper divisors (468308).

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

423232 is a wasteful number, since it uses less digits than its factorization.

423232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 408 counting only the distinct ones).

The product of its digits is 288, while the sum is 16.

The square root of 423232 is about 650.5628332452. The cubic root of 423232 is about 75.0803287480.

Adding to 423232 its reverse (232324), we get a palindrome (655556).

It can be divided in two parts, 4232 and 32, that multiplied together give a square (135424 = 3682).

The spelling of 423232 in words is "four hundred twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 389 544 778 1088 1556 3112 6224 6613 12448 13226 24896 26452 52904 105808 211616 423232