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132324304 = 2472168781
BaseRepresentation
bin1111110001100…
…01101111010000
3100012222202211011
413320301233100
5232333334204
621044100304
73164511100
oct770615720
9305882734
10132324304
116876a232
1238394694
1321550708
1413807200
15b93c304
hex7e31bd0

132324304 has 30 divisors (see below), whose sum is σ = 298237794. Its totient is φ = 56710080.

The previous prime is 132324301. The next prime is 132324307. The reversal of 132324304 is 403423231.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (132324301) and next prime (132324307).

It can be written as a sum of positive squares in only one way, i.e., 66389904 + 65934400 = 8148^2 + 8120^2 .

It is a super-3 number, since 3×1323243043 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132324301) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 83607 + ... + 85174.

Almost surely, 2132324304 is an apocalyptic number.

132324304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

132324304 is an abundant number, since it is smaller than the sum of its proper divisors (165913490).

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

132324304 is a wasteful number, since it uses less digits than its factorization.

132324304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168803 (or 168790 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 132324304 is about 11503.2301550478. The cubic root of 132324304 is about 509.5809758224.

Adding to 132324304 its reverse (403423231), we get a palindrome (535747535).

The spelling of 132324304 in words is "one hundred thirty-two million, three hundred twenty-four thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 168781 337562 675124 1181467 1350248 2362934 2700496 4725868 8270269 9451736 16540538 18903472 33081076 66162152 132324304