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42342320 = 2452918251
BaseRepresentation
bin1010000110000…
…1011110110000
32221200012202002
42201201132300
541314423240
64111313132
71022621666
oct241413660
987605662
1042342320
11219a0459
121221b7a8
138a06a37
1458a2c36
153ab5d15
hex28617b0

42342320 has 40 divisors (see below), whose sum is σ = 101846160. Its totient is φ = 16352000.

The previous prime is 42342301. The next prime is 42342323. The reversal of 42342320 is 2324324.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 42342292 and 42342301.

It is not an unprimeable number, because it can be changed into a prime (42342323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6806 + ... + 11445.

It is an arithmetic number, because the mean of its divisors is an integer number (2546154).

Almost surely, 242342320 is an apocalyptic number.

42342320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42342320 is an abundant number, since it is smaller than the sum of its proper divisors (59503840).

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

42342320 is a wasteful number, since it uses less digits than its factorization.

42342320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18293 (or 18287 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 42342320 is about 6507.0976633212. The cubic root of 42342320 is about 348.5444860864.

Adding to 42342320 its reverse (2324324), we get a palindrome (44666644).

The spelling of 42342320 in words is "forty-two million, three hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 1160 2320 18251 36502 73004 91255 146008 182510 292016 365020 529279 730040 1058558 1460080 2117116 2646395 4234232 5292790 8468464 10585580 21171160 42342320