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42340320 = 25375112
BaseRepresentation
bin1010000110000…
…0111111100000
32221200010000000
42201200333200
541314342240
64111300000
71022613111
oct241407740
987603000
1042340320
1121999a00
121221a600
138a05b59
1458a2208
153ab5430
hex2860fe0

42340320 has 288 divisors, whose sum is σ = 164898720. Its totient is φ = 10264320.

The previous prime is 42340301. The next prime is 42340339. The reversal of 42340320 is 2304324.

42340320 is a `hidden beast` number, since 4 + 2 + 340 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (42340301) and next prime (42340339).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 42340293 and 42340302.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 3849115 + ... + 3849125.

It is an arithmetic number, because the mean of its divisors is an integer number (572565).

Almost surely, 242340320 is an apocalyptic number.

42340320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42340320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82449360).

42340320 is an abundant number, since it is smaller than the sum of its proper divisors (122558400).

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

42340320 is an equidigital number, since it uses as much as digits as its factorization.

42340320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 42340320 is about 6506.9439831614. The cubic root of 42340320 is about 348.5389982754.

Adding to 42340320 its reverse (2304324), we get a palindrome (44644644).

The spelling of 42340320 in words is "forty-two million, three hundred forty thousand, three hundred twenty".