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432434142 = 232716720551
BaseRepresentation
bin11001110001100…
…110101111011110
31010010200221010100
4121301212233132
51341200343032
6110524321530
713500425640
oct3161465736
91103627110
10432434142
11202109198
121009a32a6
136b7894ba
1441608890
1527e6d97c
hex19c66bde

432434142 has 48 divisors (see below), whose sum is σ = 1077253632. Its totient is φ = 122806800.

The previous prime is 432434141. The next prime is 432434183. The reversal of 432434142 is 241434234.

It is a happy number.

432434142 is a `hidden beast` number, since 4 + 3 + 243 + 414 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432434141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10767 + ... + 31317.

It is an arithmetic number, because the mean of its divisors is an integer number (22442784).

Almost surely, 2432434142 is an apocalyptic number.

432434142 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 432434142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538626816).

432434142 is an abundant number, since it is smaller than the sum of its proper divisors (644819490).

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

432434142 is a wasteful number, since it uses less digits than its factorization.

432434142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20733 (or 20730 counting only the distinct ones).

The product of its digits is 9216, while the sum is 27.

The square root of 432434142 is about 20795.0509015968. The cubic root of 432434142 is about 756.2057787862.

Adding to 432434142 its reverse (241434234), we get a palindrome (673868376).

The spelling of 432434142 in words is "four hundred thirty-two million, four hundred thirty-four thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 167 334 501 1002 1169 1503 2338 3006 3507 7014 10521 20551 21042 41102 61653 123306 143857 184959 287714 369918 431571 863142 1294713 2589426 3432017 6864034 10296051 20592102 24024119 30888153 48048238 61776306 72072357 144144714 216217071 432434142