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24132340 = 2257316529
BaseRepresentation
bin101110000001…
…1101011110100
31200102001100101
41130003223310
522134213330
62221123444
7412056451
oct134035364
950361311
1024132340
1112692a91
1280b9584
134ccc2bb
1432c2828
1521ba4ca
hex1703af4

24132340 has 24 divisors (see below), whose sum is σ = 51375240. Its totient is φ = 9520128.

The previous prime is 24132307. The next prime is 24132343. The reversal of 24132340 is 4323142.

It can be written as a sum of positive squares in 4 ways, for example, as 7518564 + 16613776 = 2742^2 + 4076^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24132343) 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 7 ways as a sum of consecutive naturals, for example, 6805 + ... + 9724.

It is an arithmetic number, because the mean of its divisors is an integer number (2140635).

Almost surely, 224132340 is an apocalyptic number.

24132340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

24132340 is an abundant number, since it is smaller than the sum of its proper divisors (27242900).

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

24132340 is a wasteful number, since it uses less digits than its factorization.

24132340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16611 (or 16609 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 24132340 is about 4912.4678115994. The cubic root of 24132340 is about 288.9791294898.

Adding to 24132340 its reverse (4323142), we get a palindrome (28455482).

It can be divided in two parts, 2413 and 2340, that added together give a triangular number (4753 = T97).

The spelling of 24132340 in words is "twenty-four million, one hundred thirty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 73 146 292 365 730 1460 16529 33058 66116 82645 165290 330580 1206617 2413234 4826468 6033085 12066170 24132340