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30800640744 = 2338586813
BaseRepresentation
bin11100101011110111…
…000111101011101000
32221111112211200000000
4130223313013223220
51001034431000434
622052152343000
72140161061266
oct345367075350
987445750000
1030800640744
11120761822a5
125b770a4a60
132b9b210813
1416c28dd436
15c0407ab99
hex72bdc7ae8

30800640744 has 72 divisors (see below), whose sum is σ = 86622548610. Its totient is φ = 10266862752.

The previous prime is 30800640743. The next prime is 30800640797. The reversal of 30800640744 is 44704600803.

30800640744 is a `hidden beast` number, since 3 + 0 + 8 + 0 + 0 + 640 + 7 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 25462584900 + 5338055844 = 159570^2 + 73062^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 30800640699 and 30800640708.

It is not an unprimeable number, because it can be changed into a prime (30800640743) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 240919 + ... + 345894.

Almost surely, 230800640744 is an apocalyptic number.

It is an amenable number.

30800640744 is an abundant number, since it is smaller than the sum of its proper divisors (55821907866).

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

30800640744 is an frugal number, since it uses more digits than its factorization.

30800640744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586843 (or 586818 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 30800640744 in words is "thirty billion, eight hundred million, six hundred forty thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 729 972 1458 1944 2187 2916 4374 5832 6561 8748 13122 17496 26244 52488 586813 1173626 1760439 2347252 3520878 4694504 5281317 7041756 10562634 14083512 15843951 21125268 31687902 42250536 47531853 63375804 95063706 126751608 142595559 190127412 285191118 380254824 427786677 570382236 855573354 1140764472 1283360031 1711146708 2566720062 3422293416 3850080093 5133440124 7700160186 10266880248 15400320372 30800640744