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1428434280 = 2332572136229
BaseRepresentation
bin101010100100100…
…0010110101101000
310200112211222110100
41111021002311220
510411134344110
6353424145400
750253330300
oct12511026550
93615758410
101428434280
1167334a8a9
1233a468260
13199c25bb0
14d79d4600
158560ebc0
hex55242d68

1428434280 has 288 divisors, whose sum is σ = 5816701800. Its totient is φ = 301335552.

The previous prime is 1428434279. The next prime is 1428434281. The reversal of 1428434280 is 824348241.

1428434280 is a `hidden beast` number, since 142 + 8 + 434 + 2 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (1428434279) and next prime (1428434281).

It can be written as a sum of positive squares in 4 ways, for example, as 896762916 + 531671364 = 29946^2 + 23058^2 .

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 (1428434281) 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 71 ways as a sum of consecutive naturals, for example, 226206 + ... + 232434.

Almost surely, 21428434280 is an apocalyptic number.

1428434280 is a gapful number since it is divisible by the number (10) 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 1428434280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2908350900).

1428434280 is an abundant number, since it is smaller than the sum of its proper divisors (4388267520).

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

1428434280 is a wasteful number, since it uses less digits than its factorization.

1428434280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6273 (or 6259 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 1428434280 is about 37794.6329523122. The cubic root of 1428434280 is about 1126.2118378563.

The spelling of 1428434280 in words is "one billion, four hundred twenty-eight million, four hundred thirty-four thousand, two hundred eighty".