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132435342 = 232131673389
BaseRepresentation
bin1111110010011…
…00110110001110
3100020012102010200
413321030312032
5232400412332
621050314330
73165452604
oct771146616
9306172120
10132435342
11688356a6
12384289a6
132158c110
1413835874
15b96017c
hex7e4cd8e

132435342 has 48 divisors (see below), whose sum is σ = 310957920. Its totient is φ = 40493376.

The previous prime is 132435337. The next prime is 132435343. The reversal of 132435342 is 243534231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132435343) 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, 37384 + ... + 40772.

It is an arithmetic number, because the mean of its divisors is an integer number (6478290).

Almost surely, 2132435342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132435342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155478960).

132435342 is an abundant number, since it is smaller than the sum of its proper divisors (178522578).

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

132435342 is a wasteful number, since it uses less digits than its factorization.

132435342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3577 (or 3574 counting only the distinct ones).

The product of its digits is 8640, while the sum is 27.

The square root of 132435342 is about 11508.0555264562. The cubic root of 132435342 is about 509.7234717741.

Adding to 132435342 its reverse (243534231), we get a palindrome (375969573).

The spelling of 132435342 in words is "one hundred thirty-two million, four hundred thirty-five thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 167 234 334 501 1002 1503 2171 3006 3389 4342 6513 6778 10167 13026 19539 20334 30501 39078 44057 61002 88114 132171 264342 396513 565963 793026 1131926 1697889 3395778 5093667 7357519 10187334 14715038 22072557 44145114 66217671 132435342