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426338280 = 233252997421
BaseRepresentation
bin11001011010010…
…110011111101000
31002201020020011200
4121122112133220
51333120311110
6110145524200
713364546514
oct3132263750
91081206150
10426338280
111a9725295
12ba943660
136a433994
144089d144
15276676c0
hex196967e8

426338280 has 192 divisors, whose sum is σ = 1451595600. Its totient is φ = 108380160.

The previous prime is 426338233. The next prime is 426338287. The reversal of 426338280 is 82833624.

426338280 is a `hidden beast` number, since 42 + 6 + 338 + 280 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 48191364 + 378146916 = 6942^2 + 19446^2 .

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

It is not an unprimeable number, because it can be changed into a prime (426338287) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1012470 + ... + 1012890.

Almost surely, 2426338280 is an apocalyptic number.

426338280 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 426338280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725797800).

426338280 is an abundant number, since it is smaller than the sum of its proper divisors (1025257320).

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

426338280 is a wasteful number, since it uses less digits than its factorization.

426338280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 426338280 is about 20647.9606741199. The cubic root of 426338280 is about 752.6356337302.

The spelling of 426338280 in words is "four hundred twenty-six million, three hundred thirty-eight thousand, two hundred eighty".