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423983280 = 243572311163
BaseRepresentation
bin11001010001010…
…111100010110000
31002112210120201110
4121101113202300
51332014431110
6110023233320
713335540600
oct3121274260
91075716643
10423983280
111a8366a06
12b9ba8840
1369abaaa6
1440448c00
152734ea20
hex194578b0

423983280 has 240 divisors, whose sum is σ = 1579613184. Its totient is φ = 93703680.

The previous prime is 423983279. The next prime is 423983297. The reversal of 423983280 is 82389324.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 363979 + ... + 365141.

Almost surely, 2423983280 is an apocalyptic number.

423983280 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 423983280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (789806592).

423983280 is an abundant number, since it is smaller than the sum of its proper divisors (1155629904).

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

423983280 is a wasteful number, since it uses less digits than its factorization.

423983280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1224 (or 1211 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 423983280 is about 20590.8542804809. The cubic root of 423983280 is about 751.2472756990.

The spelling of 423983280 in words is "four hundred twenty-three million, nine hundred eighty-three thousand, two hundred eighty".