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3040000020 = 2232537694481
BaseRepresentation
bin1011010100110010…
…1011100000010100
321211212022000001100
42311030223200110
522211220000040
61221353430100
7135222400551
oct26514534024
97755260040
103040000020
111320001012
1270a10b330
13395a7b0a5
1420ba59a28
1512bd45b30
hexb532b814

3040000020 has 72 divisors (see below), whose sum is σ = 9225838440. Its totient is φ = 810270720.

The previous prime is 3040000009. The next prime is 3040000039. The reversal of 3040000020 is 200000403.

It can be written as a sum of positive squares in 4 ways, for example, as 1120508676 + 1919491344 = 33474^2 + 43812^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 3039999957 and 3040000011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 676180 + ... + 680660.

It is an arithmetic number, because the mean of its divisors is an integer number (128136645).

Almost surely, 23040000020 is an apocalyptic number.

3040000020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3040000020 is an abundant number, since it is smaller than the sum of its proper divisors (6185838420).

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

3040000020 is a wasteful number, since it uses less digits than its factorization.

3040000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8265 (or 8260 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 3040000020 is about 55136.1951897299. The cubic root of 3040000020 is about 1448.6312918652.

Adding to 3040000020 its reverse (200000403), we get a palindrome (3240000423).

The spelling of 3040000020 in words is "three billion, forty million, twenty", and thus it is an aban number and an uban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 3769 4481 7538 8962 11307 13443 15076 17924 18845 22405 22614 26886 33921 37690 40329 44810 45228 53772 56535 67215 67842 75380 80658 89620 113070 134430 135684 161316 169605 201645 226140 268860 339210 403290 678420 806580 16888889 33777778 50666667 67555556 84444445 101333334 152000001 168888890 202666668 253333335 304000002 337777780 506666670 608000004 760000005 1013333340 1520000010 3040000020