Search a number
-
+
30297300 = 22352119181
BaseRepresentation
bin111001110010…
…0110011010100
32010000021002020
41303210303110
530224003200
63001213140
7515344215
oct163446324
963007066
1030297300
11161138a0
12a1911b0
13637a3c7
14404940c
1529d6ea0
hex1ce4cd4

30297300 has 72 divisors (see below), whose sum is σ = 95639712. Its totient is φ = 7344000.

The previous prime is 30297277. The next prime is 30297301. The reversal of 30297300 is 379203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30297301) by changing a digit.

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, 1291 + ... + 7890.

Almost surely, 230297300 is an apocalyptic number.

30297300 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 30297300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47819856).

30297300 is an abundant number, since it is smaller than the sum of its proper divisors (65342412).

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

30297300 is a wasteful number, since it uses less digits than its factorization.

30297300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9209 (or 9202 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 24.

The square root of 30297300 is about 5504.2983204038. The cubic root of 30297300 is about 311.7463009957.

The spelling of 30297300 in words is "thirty million, two hundred ninety-seven thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 9181 18362 27543 36724 45905 55086 91810 100991 110172 137715 183620 201982 229525 275430 302973 403964 459050 504955 550860 605946 688575 918100 1009910 1211892 1377150 1514865 2019820 2524775 2754300 3029730 5049550 6059460 7574325 10099100 15148650 30297300