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426343680 = 28325717311
BaseRepresentation
bin11001011010010…
…111110100000000
31002201020111120200
4121122113310000
51333120444210
6110150005200
713364601330
oct3132276400
91081214520
10426343680
111a9729354
12ba946800
136a436289
14408a10c0
15276690c0
hex19697d00

426343680 has 432 divisors, whose sum is σ = 1790740224. Its totient is φ = 91422720.

The previous prime is 426343661. The next prime is 426343681. The reversal of 426343680 is 86343624.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426343681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1370725 + ... + 1371035.

It is an arithmetic number, because the mean of its divisors is an integer number (4145232).

Almost surely, 2426343680 is an apocalyptic number.

426343680 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 426343680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (895370112).

426343680 is an abundant number, since it is smaller than the sum of its proper divisors (1364396544).

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

426343680 is a wasteful number, since it uses less digits than its factorization.

426343680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 426343680 is about 20648.0914372249. The cubic root of 426343680 is about 752.6388113441.

The spelling of 426343680 in words is "four hundred twenty-six million, three hundred forty-three thousand, six hundred eighty".