Search a number
-
+
30321300 = 22352531907
BaseRepresentation
bin111001110101…
…0101010010100
32010001111000010
41303222222110
530230240200
63001520220
7515504202
oct163525224
963044003
1030321300
111612a929
12a1a3070
1363882c9
144054072
1529de150
hex1ceaa94

30321300 has 72 divisors (see below), whose sum is σ = 89431776. Its totient is φ = 7928960.

The previous prime is 30321299. The next prime is 30321323. The reversal of 30321300 is 312303.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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, 14947 + ... + 16853.

It is an arithmetic number, because the mean of its divisors is an integer number (1242108).

Almost surely, 230321300 is an apocalyptic number.

30321300 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 30321300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44715888).

30321300 is an abundant number, since it is smaller than the sum of its proper divisors (59110476).

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

30321300 is a wasteful number, since it uses less digits than its factorization.

30321300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1977 (or 1970 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 30321300 is about 5506.4780032249. The cubic root of 30321300 is about 311.8285958591.

Adding to 30321300 its reverse (312303), we get a palindrome (30633603).

The spelling of 30321300 in words is "thirty million, three hundred twenty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 53 60 75 100 106 150 159 212 265 300 318 530 636 795 1060 1325 1590 1907 2650 3180 3814 3975 5300 5721 7628 7950 9535 11442 15900 19070 22884 28605 38140 47675 57210 95350 101071 114420 143025 190700 202142 286050 303213 404284 505355 572100 606426 1010710 1212852 1516065 2021420 2526775 3032130 5053550 6064260 7580325 10107100 15160650 30321300