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424410030 = 2345111923109
BaseRepresentation
bin11001010010111…
…111101110101110
31002120121021010000
4121102333232232
51332122110110
6110040325130
713342266012
oct3122775656
91076537100
10424410030
111a86285a0
12ba1737a6
1369c0a0c5
144051a542
15273d61c0
hex194bfbae

424410030 has 320 divisors, whose sum is σ = 1379980800. Its totient is φ = 92378880.

The previous prime is 424410029. The next prime is 424410031. The reversal of 424410030 is 30014424.

It is an interprime number because it is at equal distance from previous prime (424410029) and next prime (424410031).

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 = 424409985 and 424410012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424410031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3893616 + ... + 3893724.

It is an arithmetic number, because the mean of its divisors is an integer number (4312440).

Almost surely, 2424410030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424410030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689990400).

424410030 is an abundant number, since it is smaller than the sum of its proper divisors (955570770).

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

424410030 is a wasteful number, since it uses less digits than its factorization.

424410030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 424410030 is about 20601.2142845998. The cubic root of 424410030 is about 751.4992410381.

Adding to 424410030 its reverse (30014424), we get a palindrome (454424454).

The spelling of 424410030 in words is "four hundred twenty-four million, four hundred ten thousand, thirty".