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426338304 = 2113723431
BaseRepresentation
bin11001011010010…
…110100000000000
31002201020020012120
4121122112200000
51333120311204
6110145524240
713364546550
oct3132264000
91081206176
10426338304
111a9725307
12ba943680
136a4339b2
144089d160
15276676d9
hex19696800

426338304 has 192 divisors, whose sum is σ = 1358622720. Its totient is φ = 116244480.

The previous prime is 426338287. The next prime is 426338317. The reversal of 426338304 is 403833624.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 988969 + ... + 989399.

It is an arithmetic number, because the mean of its divisors is an integer number (7076160).

Almost surely, 2426338304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 426338304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679311360).

426338304 is an abundant number, since it is smaller than the sum of its proper divisors (932284416).

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

426338304 is a wasteful number, since it uses less digits than its factorization.

426338304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

The square root of 426338304 is about 20647.9612552910. The cubic root of 426338304 is about 752.6356478530.

The spelling of 426338304 in words is "four hundred twenty-six million, three hundred thirty-eight thousand, three hundred four".