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42330320 = 245529129
BaseRepresentation
bin1010000101111…
…0100011010000
32221122121021122
42201132203100
541314032240
64111141412
71022542004
oct241364320
987577248
1042330320
112199243a
1212214868
138a01436
14589c704
153ab24b5
hex285e8d0

42330320 has 20 divisors (see below), whose sum is σ = 98418180. Its totient is φ = 16932096.

The previous prime is 42330319. The next prime is 42330349. The reversal of 42330320 is 2303324.

It can be written as a sum of positive squares in 2 ways, for example, as 29855296 + 12475024 = 5464^2 + 3532^2 .

It is a tau number, because it is divible by the number of its divisors (20).

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 3 ways as a sum of consecutive naturals, for example, 264485 + ... + 264644.

It is an arithmetic number, because the mean of its divisors is an integer number (4920909).

Almost surely, 242330320 is an apocalyptic number.

42330320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42330320 is an abundant number, since it is smaller than the sum of its proper divisors (56087860).

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

42330320 is a wasteful number, since it uses less digits than its factorization.

42330320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529142 (or 529136 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 17.

The square root of 42330320 is about 6506.1755279119. The cubic root of 42330320 is about 348.5115566279.

Adding to 42330320 its reverse (2303324), we get a palindrome (44633644).

The spelling of 42330320 in words is "forty-two million, three hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 529129 1058258 2116516 2645645 4233032 5291290 8466064 10582580 21165160 42330320