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424203780 = 22357211131009
BaseRepresentation
bin11001010010001…
…101011000000100
31002120012210012010
4121102031120010
51332044010110
6110032054220
713340446500
oct3122153004
91076183163
10424203780
111a84a7640
12ba094370
1369b67270
14404a5300
1527395020
hex1948d604

424203780 has 288 divisors, whose sum is σ = 1624855680. Its totient is φ = 81285120.

The previous prime is 424203739. The next prime is 424203781. The reversal of 424203780 is 87302424.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (424203781) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 419916 + ... + 420924.

It is an arithmetic number, because the mean of its divisors is an integer number (5641860).

Almost surely, 2424203780 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424203780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (812427840).

424203780 is an abundant number, since it is smaller than the sum of its proper divisors (1200651900).

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

424203780 is a wasteful number, since it uses less digits than its factorization.

424203780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1059 (or 1050 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 424203780 is about 20596.2079033981. The cubic root of 424203780 is about 751.3774862710.

The spelling of 424203780 in words is "four hundred twenty-four million, two hundred three thousand, seven hundred eighty".