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423344880 = 2436571761
BaseRepresentation
bin11001001110111…
…011101011110000
31002111121011000000
4121032323223300
51331334014010
6110001430000
713330241430
oct3116735360
91074534000
10423344880
111a7a70302
12b993b300
136992633a
14403202c0
15272757c0
hex193bbaf0

423344880 has 560 divisors, whose sum is σ = 1815044544. Its totient is φ = 89579520.

The previous prime is 423344869. The next prime is 423344893. The reversal of 423344880 is 88443324.

It is a tau number, because it is divible by the number of its divisors (560).

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 111 ways as a sum of consecutive naturals, for example, 6940050 + ... + 6940110.

Almost surely, 2423344880 is an apocalyptic number.

423344880 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 423344880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (907522272).

423344880 is an abundant number, since it is smaller than the sum of its proper divisors (1391699664).

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

423344880 is a wasteful number, since it uses less digits than its factorization.

423344880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 95 counting only the distinct ones).

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

The square root of 423344880 is about 20575.3464126367. The cubic root of 423344880 is about 750.8700303393.

The spelling of 423344880 in words is "four hundred twenty-three million, three hundred forty-four thousand, eight hundred eighty".