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426678336 = 263272343107
BaseRepresentation
bin11001011011101…
…001100001000000
31002201212111122100
4121123221201000
51333212201321
6110201110400
713400464110
oct3133514100
91081774570
10426678336
111a9937827
12baa88400
136a5226b6
144094b040
15276d3326
hex196e9840

426678336 has 336 divisors, whose sum is σ = 1506345984. Its totient is φ = 112831488.

The previous prime is 426678331. The next prime is 426678353. The reversal of 426678336 is 633876624.

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

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 426678291 and 426678300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426678331) 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, 3987595 + ... + 3987701.

Almost surely, 2426678336 is an apocalyptic number.

426678336 is a gapful number since it is divisible by the number (46) 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 426678336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (753172992).

426678336 is an abundant number, since it is smaller than the sum of its proper divisors (1079667648).

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

426678336 is a wasteful number, since it uses less digits than its factorization.

426678336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 185 counting only the distinct ones).

The product of its digits is 870912, while the sum is 45.

The square root of 426678336 is about 20656.1936474269. The cubic root of 426678336 is about 752.8356863317.

The spelling of 426678336 in words is "four hundred twenty-six million, six hundred seventy-eight thousand, three hundred thirty-six".