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2438768320 = 26517448303
BaseRepresentation
bin1001000101011100…
…1010011011000000
320021221222021012121
42101113022123000
514443311041240
61041555134024
7114302121502
oct22127123300
96257867177
102438768320
11104169180a
125808a4314
132cb3409a1
14191c71d72
15e418304a
hex915ca6c0

2438768320 has 56 divisors (see below), whose sum is σ = 6148937664. Its totient is φ = 918122496.

The previous prime is 2438768291. The next prime is 2438768393. The reversal of 2438768320 is 238678342.

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 7 ways as a sum of consecutive naturals, for example, 218712 + ... + 229591.

Almost surely, 22438768320 is an apocalyptic number.

2438768320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2438768320 is an abundant number, since it is smaller than the sum of its proper divisors (3710169344).

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

2438768320 is a wasteful number, since it uses less digits than its factorization.

2438768320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448337 (or 448327 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 43.

The square root of 2438768320 is about 49383.8872508028. The cubic root of 2438768320 is about 1346.0365360078.

The spelling of 2438768320 in words is "two billion, four hundred thirty-eight million, seven hundred sixty-eight thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 136 160 170 272 320 340 544 680 1088 1360 2720 5440 448303 896606 1793212 2241515 3586424 4483030 7172848 7621151 8966060 14345696 15242302 17932120 28691392 30484604 35864240 38105755 60969208 71728480 76211510 121938416 143456960 152423020 243876832 304846040 487753664 609692080 1219384160 2438768320