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42313320 = 23335729193
BaseRepresentation
bin1010000101101…
…0011001101000
32221121201222000
42201122121220
541313011240
64110531000
71022441310
oct241323150
987551860
1042313320
1121980695
1212206a60
1389c678a
145896440
153aac430
hex285a668

42313320 has 256 divisors, whose sum is σ = 167616000. Its totient is φ = 9289728.

The previous prime is 42313319. The next prime is 42313331. The reversal of 42313320 is 2331324.

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 = 42313293 and 42313302.

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 63 ways as a sum of consecutive naturals, for example, 219144 + ... + 219336.

It is an arithmetic number, because the mean of its divisors is an integer number (654750).

Almost surely, 242313320 is an apocalyptic number.

42313320 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 42313320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83808000).

42313320 is an abundant number, since it is smaller than the sum of its proper divisors (125302680).

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

42313320 is a wasteful number, since it uses less digits than its factorization.

42313320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 42313320 is about 6504.8689456437. The cubic root of 42313320 is about 348.4648959068.

Adding to 42313320 its reverse (2331324), we get a palindrome (44644644).

The spelling of 42313320 in words is "forty-two million, three hundred thirteen thousand, three hundred twenty".