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132243345 = 32513217389
BaseRepresentation
bin1111110000111…
…01111110010001
3100012211122202200
413320131332101
5232323241340
621042233413
73164023053
oct770357621
9305748680
10132243345
1168714423
1238355869
1321522900
14137c58d3
15b923330
hex7e1df91

132243345 has 36 divisors (see below), whose sum is σ = 248224860. Its totient is φ = 65100672.

The previous prime is 132243343. The next prime is 132243347. The reversal of 132243345 is 543342231.

132243345 is a `hidden beast` number, since 1 + 322 + 4 + 334 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (132243343) and next prime (132243347).

It can be written as a sum of positive squares in 6 ways, for example, as 19395216 + 112848129 = 4404^2 + 10623^2 .

It is not a de Polignac number, because 132243345 - 21 = 132243343 is a prime.

It is not an unprimeable number, because it can be changed into a prime (132243341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1090 + ... + 16299.

It is an arithmetic number, because the mean of its divisors is an integer number (6895135).

Almost surely, 2132243345 is an apocalyptic number.

132243345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132243345 is a deficient number, since it is larger than the sum of its proper divisors (115981515).

132243345 is a wasteful number, since it uses less digits than its factorization.

132243345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17426 (or 17410 counting only the distinct ones).

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

The square root of 132243345 is about 11499.7106485337. The cubic root of 132243345 is about 509.4770302346.

Adding to 132243345 its reverse (543342231), we get a palindrome (675585576).

The spelling of 132243345 in words is "one hundred thirty-two million, two hundred forty-three thousand, three hundred forty-five".

Divisors: 1 3 5 9 13 15 39 45 65 117 169 195 507 585 845 1521 2535 7605 17389 52167 86945 156501 226057 260835 678171 782505 1130285 2034513 2938741 3390855 8816223 10172565 14693705 26448669 44081115 132243345