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423008640 = 273252331103
BaseRepresentation
bin11001001101101…
…001100110000000
31002110222001202200
4121031221212000
51331242234030
6105550313200
713324341225
oct3115514600
91073861680
10423008640
111a786071a
12b97b8800
1369839292
144027394c
152720ad60
hex19369980

423008640 has 384 divisors, whose sum is σ = 1588654080. Its totient is φ = 103403520.

The previous prime is 423008633. The next prime is 423008657. The reversal of 423008640 is 46800324.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4106829 + ... + 4106931.

It is an arithmetic number, because the mean of its divisors is an integer number (4137120).

Almost surely, 2423008640 is an apocalyptic number.

423008640 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 423008640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (794327040).

423008640 is an abundant number, since it is smaller than the sum of its proper divisors (1165645440).

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

423008640 is a wasteful number, since it uses less digits than its factorization.

423008640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 423008640 is about 20567.1738457183. The cubic root of 423008640 is about 750.6711858336.

Adding to 423008640 its reverse (46800324), we get a palindrome (469808964).

The spelling of 423008640 in words is "four hundred twenty-three million, eight thousand, six hundred forty".