Search a number
-
+
30880000 = 2854193
BaseRepresentation
bin111010111001…
…1000100000000
32011002212101201
41311303010000
530401130000
63021510544
7523322104
oct165630400
964085351
1030880000
1116481668
12a412454
1365226b8
14415b904
152a9e96a
hex1d73100

30880000 has 90 divisors (see below), whose sum is σ = 77423654. Its totient is φ = 12288000.

The previous prime is 30879991. The next prime is 30880009. The reversal of 30880000 is 8803.

It is an interprime number because it is at equal distance from previous prime (30879991) and next prime (30880009).

It can be written as a sum of positive squares in 5 ways, for example, as 16257024 + 14622976 = 4032^2 + 3824^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 30880000.

It is not an unprimeable number, because it can be changed into a prime (30880009) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 159904 + ... + 160096.

Almost surely, 230880000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38711827).

30880000 is an abundant number, since it is smaller than the sum of its proper divisors (46543654).

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

30880000 is an frugal number, since it uses more digits than its factorization.

30880000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 30880000 is about 5556.9775957799. The cubic root of 30880000 is about 313.7322016538.

Adding to 30880000 its reverse (8803), we get a palindrome (30888803).

It can be divided in two parts, 308 and 80000, that added together give a palindrome (80308).

The spelling of 30880000 in words is "thirty million, eight hundred eighty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 193 200 250 256 320 386 400 500 625 640 772 800 965 1000 1250 1280 1544 1600 1930 2000 2500 3088 3200 3860 4000 4825 5000 6176 6400 7720 8000 9650 10000 12352 15440 16000 19300 20000 24125 24704 30880 32000 38600 40000 48250 49408 61760 77200 80000 96500 120625 123520 154400 160000 193000 241250 247040 308800 386000 482500 617600 772000 965000 1235200 1544000 1930000 3088000 3860000 6176000 7720000 15440000 30880000