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432010242 = 232234392377
BaseRepresentation
bin11001101111111…
…111010000000010
31010002220101122100
4121233333100002
51341043311432
6110511251230
713464012036
oct3157772002
91102811570
10432010242
11201949764
12100819b16
136b66b581
14415381c6
1527dd807c
hex19bff402

432010242 has 48 divisors (see below), whose sum is σ = 979355520. Its totient is φ = 137370816.

The previous prime is 432010231. The next prime is 432010247. The reversal of 432010242 is 242010234.

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

It is not an unprimeable number, because it can be changed into a prime (432010247) 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, 180558 + ... + 182934.

It is an arithmetic number, because the mean of its divisors is an integer number (20403240).

Almost surely, 2432010242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 432010242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489677760).

432010242 is an abundant number, since it is smaller than the sum of its proper divisors (547345278).

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

432010242 is a wasteful number, since it uses less digits than its factorization.

432010242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2847 (or 2844 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 432010242 is about 20784.8560735936. The cubic root of 432010242 is about 755.9586040154.

Adding to 432010242 its reverse (242010234), we get a palindrome (674020476).

The spelling of 432010242 in words is "four hundred thirty-two million, ten thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 414 439 878 1317 2377 2634 3951 4754 7131 7902 10097 14262 20194 21393 30291 42786 54671 60582 90873 109342 164013 181746 328026 492039 984078 1043503 2087006 3130509 6261018 9391527 18783054 24000569 48001138 72001707 144003414 216005121 432010242