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42314320 = 245528929
BaseRepresentation
bin1010000101101…
…0101001010000
32221121210100001
42201122221100
541313024240
64110535344
71022444236
oct241325120
987553301
1042314320
1121981414
1212207554
1389c7079
145896956
153aac89a
hex285aa50

42314320 has 20 divisors (see below), whose sum is σ = 98380980. Its totient is φ = 16925696.

The previous prime is 42314303. The next prime is 42314329. The reversal of 42314320 is 2341324.

It can be written as a sum of positive squares in 2 ways, for example, as 32901696 + 9412624 = 5736^2 + 3068^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42314329) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 264385 + ... + 264544.

It is an arithmetic number, because the mean of its divisors is an integer number (4919049).

Almost surely, 242314320 is an apocalyptic number.

42314320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42314320 is an abundant number, since it is smaller than the sum of its proper divisors (56066660).

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

42314320 is a wasteful number, since it uses less digits than its factorization.

42314320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528942 (or 528936 counting only the distinct ones).

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

The square root of 42314320 is about 6504.9458106890. The cubic root of 42314320 is about 348.4676410010.

Adding to 42314320 its reverse (2341324), we get a palindrome (44655644).

The spelling of 42314320 in words is "forty-two million, three hundred fourteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 528929 1057858 2115716 2644645 4231432 5289290 8462864 10578580 21157160 42314320