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1428321384 = 233372134951
BaseRepresentation
bin101010100100010…
…0111010001101000
310200112122020121000
41111020213101220
510411122241014
6353421515000
750252350200
oct12510472150
93615566530
101428321384
11673282aa6
1233a412a60
13199bb66a9
14d79a5400
15855db509
hex55227468

1428321384 has 96 divisors (see below), whose sum is σ = 4615358400. Its totient is φ = 408088800.

The previous prime is 1428321361. The next prime is 1428321407. The reversal of 1428321384 is 4831238241.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1428321361) and next prime (1428321407).

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

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 56892 + ... + 78059.

It is an arithmetic number, because the mean of its divisors is an integer number (48076650).

Almost surely, 21428321384 is an apocalyptic number.

1428321384 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1428321384 is an abundant number, since it is smaller than the sum of its proper divisors (3187037016).

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

1428321384 is a wasteful number, since it uses less digits than its factorization.

1428321384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134980 (or 134963 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 1428321384 is about 37793.1393774055. The cubic root of 1428321384 is about 1126.1821671035.

The spelling of 1428321384 in words is "one billion, four hundred twenty-eight million, three hundred twenty-one thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 49 54 56 63 72 84 98 108 126 147 168 189 196 216 252 294 378 392 441 504 588 756 882 1176 1323 1512 1764 2646 3528 5292 10584 134951 269902 404853 539804 809706 944657 1079608 1214559 1619412 1889314 2429118 2833971 3238824 3643677 3778628 4858236 5667942 6612599 7287354 7557256 8501913 9716472 11335884 13225198 14574708 17003826 19837797 22671768 25505739 26450396 29149416 34007652 39675594 51011478 52900792 59513391 68015304 79351188 102022956 119026782 158702376 178540173 204045912 238053564 357080346 476107128 714160692 1428321384