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641232 = 24326173
BaseRepresentation
bin10011100100011010000
31012120121100
42130203100
5131004412
621424400
75310324
oct2344320
91176540
10641232
113a8849
1226b100
13195b37
14129984
15c9edc
hex9c8d0

641232 has 60 divisors (see below), whose sum is σ = 1848964. Its totient is φ = 207360.

The previous prime is 641227. The next prime is 641239. The reversal of 641232 is 232146.

It is a happy number.

641232 is a `hidden beast` number, since 641 + 23 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 156816 + 484416 = 396^2 + 696^2 .

It is a super-2 number, since 2×6412322 = 822356955648, which contains 22 as substring.

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

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 (641239) by changing a digit.

641232 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8748 + ... + 8820.

2641232 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 641232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (924482).

641232 is an abundant number, since it is smaller than the sum of its proper divisors (1207732).

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

641232 is a wasteful number, since it uses less digits than its factorization.

641232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 139 counting only the distinct ones).

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

The square root of 641232 is about 800.7696297937. The cubic root of 641232 is about 86.2326493139.

Adding to 641232 its reverse (232146), we get a palindrome (873378).

It can be divided in two parts, 64 and 1232, that added together give a 4-th power (1296 = 64).

The spelling of 641232 in words is "six hundred forty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 61 72 73 122 144 146 183 219 244 292 366 438 488 549 584 657 732 876 976 1098 1168 1314 1464 1752 2196 2628 2928 3504 4392 4453 5256 8784 8906 10512 13359 17812 26718 35624 40077 53436 71248 80154 106872 160308 213744 320616 641232