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4430132 = 2271741227
BaseRepresentation
bin10000111001100100110100
322100001222222
4100321210310
52113231012
6234541512
752440560
oct20714464
98301888
104430132
112556473
121597898
13bc15a5
148346a0
155c7972
hex439934

4430132 has 48 divisors (see below), whose sum is σ = 9652608. Its totient is φ = 1735680.

The previous prime is 4430113. The next prime is 4430137. The reversal of 4430132 is 2310344.

4430132 is nontrivially palindromic in base 16.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 4430132.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4430137) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19403 + ... + 19629.

It is an arithmetic number, because the mean of its divisors is an integer number (201096).

Almost surely, 24430132 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 4430132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4826304).

4430132 is an abundant number, since it is smaller than the sum of its proper divisors (5222476).

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

4430132 is a wasteful number, since it uses less digits than its factorization.

4430132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 4430132 is about 2104.7878752977. The cubic root of 4430132 is about 164.2374608848.

Adding to 4430132 its reverse (2310344), we get a palindrome (6740476).

The spelling of 4430132 in words is "four million, four hundred thirty thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 17 28 34 41 68 82 119 164 227 238 287 454 476 574 697 908 1148 1394 1589 2788 3178 3859 4879 6356 7718 9307 9758 15436 18614 19516 27013 37228 54026 65149 108052 130298 158219 260596 316438 632876 1107533 2215066 4430132