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426339000 = 233253127373
BaseRepresentation
bin11001011010010…
…110101010111000
31002201020021011100
4121122112222320
51333120322000
6110145531400
713364551563
oct3132265270
91081207140
10426339000
111a972588a
12ba943b60
136a4340c9
144089d4da
1527667a00
hex19696ab8

426339000 has 192 divisors, whose sum is σ = 1456266240. Its totient is φ = 112492800.

The previous prime is 426338999. The next prime is 426339013. The reversal of 426339000 is 933624.

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, 1142814 + ... + 1143186.

It is an arithmetic number, because the mean of its divisors is an integer number (7584720).

Almost surely, 2426339000 is an apocalyptic number.

426339000 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 426339000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728133120).

426339000 is an abundant number, since it is smaller than the sum of its proper divisors (1029927240).

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

426339000 is a wasteful number, since it uses less digits than its factorization.

426339000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 426339000 is about 20647.9781092484. The cubic root of 426339000 is about 752.6360574136.

The spelling of 426339000 in words is "four hundred twenty-six million, three hundred thirty-nine thousand".