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132342432 = 2531378567
BaseRepresentation
bin1111110001101…
…10001010100000
3100020000200200120
413320312022200
5232334424212
621044320240
73164614665
oct770661240
9306020616
10132342432
1168781912
12383a3080
1321558a41
141380da6c
15b94288c
hex7e362a0

132342432 has 24 divisors (see below), whose sum is σ = 347399136. Its totient is φ = 44114112.

The previous prime is 132342401. The next prime is 132342439. The reversal of 132342432 is 234243231.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (132342439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 689188 + ... + 689379.

It is an arithmetic number, because the mean of its divisors is an integer number (14474964).

Almost surely, 2132342432 is an apocalyptic number.

132342432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132342432 is an abundant number, since it is smaller than the sum of its proper divisors (215056704).

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

132342432 is a wasteful number, since it uses less digits than its factorization.

132342432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1378580 (or 1378572 counting only the distinct ones).

The product of its digits is 3456, while the sum is 24.

The square root of 132342432 is about 11504.0180806534. The cubic root of 132342432 is about 509.6042450729.

Adding to 132342432 its reverse (234243231), we get a palindrome (366585663).

The spelling of 132342432 in words is "one hundred thirty-two million, three hundred forty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1378567 2757134 4135701 5514268 8271402 11028536 16542804 22057072 33085608 44114144 66171216 132342432