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423138240 = 263257139151
BaseRepresentation
bin11001001110001…
…001001111000000
31002111012122112200
4121032021033000
51331310410430
6105553153200
713325421120
oct3116111700
91074178480
10423138240
111a793a028
12b985b800
1369883275
14402a8c80
1527234460
hex193893c0

423138240 has 336 divisors, whose sum is σ = 1686397440. Its totient is φ = 95385600.

The previous prime is 423138223. The next prime is 423138269. The reversal of 423138240 is 42831324.

It is a tau number, because it is divible by the number of its divisors (336).

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, 2802165 + ... + 2802315.

It is an arithmetic number, because the mean of its divisors is an integer number (5019040).

Almost surely, 2423138240 is an apocalyptic number.

423138240 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 423138240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (843198720).

423138240 is an abundant number, since it is smaller than the sum of its proper divisors (1263259200).

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

423138240 is a wasteful number, since it uses less digits than its factorization.

423138240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 307 counting only the distinct ones).

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

The square root of 423138240 is about 20570.3242560734. The cubic root of 423138240 is about 750.7478407311.

Adding to 423138240 its reverse (42831324), we get a palindrome (465969564).

The spelling of 423138240 in words is "four hundred twenty-three million, one hundred thirty-eight thousand, two hundred forty".