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424384380 = 223357192311
BaseRepresentation
bin11001010010111…
…001011101111100
31002120112221221000
4121102321131330
51332120300010
6110040010300
713342131150
oct3122713574
91076487830
10424384380
111a86102a2
12ba160990
1369bcb524
1440511060
15273cd7c0
hex194b977c

424384380 has 288 divisors, whose sum is σ = 1597639680. Its totient is φ = 91601280.

The previous prime is 424384369. The next prime is 424384417. The reversal of 424384380 is 83483424.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1364425 + ... + 1364735.

It is an arithmetic number, because the mean of its divisors is an integer number (5547360).

Almost surely, 2424384380 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 424384380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798819840).

424384380 is an abundant number, since it is smaller than the sum of its proper divisors (1173255300).

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

424384380 is a wasteful number, since it uses less digits than its factorization.

424384380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 424384380 is about 20600.5917390739. The cubic root of 424384380 is about 751.4841013206.

The spelling of 424384380 in words is "four hundred twenty-four million, three hundred eighty-four thousand, three hundred eighty".