Search a number
-
+
30323880 = 23325131643
BaseRepresentation
bin111001110101…
…1010010101000
32010001121112200
41303223102220
530230331010
63001540200
7515514546
oct163532250
963047480
1030323880
1116131864
12a1a4660
136389532
144054d96
1529decc0
hex1ceb4a8

30323880 has 96 divisors (see below), whose sum is σ = 99459360. Its totient is φ = 8012160.

The previous prime is 30323873. The next prime is 30323927. The reversal of 30323880 is 8832303.

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, 46839 + ... + 47481.

It is an arithmetic number, because the mean of its divisors is an integer number (1036035).

Almost surely, 230323880 is an apocalyptic number.

30323880 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30323880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49729680).

30323880 is an abundant number, since it is smaller than the sum of its proper divisors (69135480).

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

30323880 is a wasteful number, since it uses less digits than its factorization.

30323880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 791 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 30323880 is about 5506.7122677692. The cubic root of 30323880 is about 311.8374399716.

The spelling of 30323880 in words is "thirty million, three hundred twenty-three thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 131 180 262 360 393 524 643 655 786 1048 1179 1286 1310 1572 1929 1965 2358 2572 2620 3144 3215 3858 3930 4716 5144 5240 5787 5895 6430 7716 7860 9432 9645 11574 11790 12860 15432 15720 19290 23148 23580 25720 28935 38580 46296 47160 57870 77160 84233 115740 168466 231480 252699 336932 421165 505398 673864 758097 842330 1010796 1263495 1516194 1684660 2021592 2526990 3032388 3369320 3790485 5053980 6064776 7580970 10107960 15161940 30323880