Search a number
-
+
330124300 = 225211227283
BaseRepresentation
bin10011101011010…
…100110000001100
3212000012001101221
4103223110300030
51134002434200
652431413124
711116003342
oct2353246014
9760161357
10330124300
1115a38a300
12926841a4
135351752c
1431bb5992
151deae91a
hex13ad4c0c

330124300 has 54 divisors (see below), whose sum is σ = 787443524. Its totient is φ = 120040800.

The previous prime is 330124261. The next prime is 330124303. The reversal of 330124300 is 3421033.

It is not an unprimeable number, because it can be changed into a prime (330124303) 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 17 ways as a sum of consecutive naturals, for example, 1542 + ... + 25741.

Almost surely, 2330124300 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 330124300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393721762).

330124300 is an abundant number, since it is smaller than the sum of its proper divisors (457319224).

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

330124300 is a wasteful number, since it uses less digits than its factorization.

330124300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27319 (or 27301 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 330124300 is about 18169.3230473785. The cubic root of 330124300 is about 691.1290763124.

Adding to 330124300 its reverse (3421033), we get a palindrome (333545333).

The spelling of 330124300 in words is "three hundred thirty million, one hundred twenty-four thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 220 242 275 484 550 605 1100 1210 2420 3025 6050 12100 27283 54566 109132 136415 272830 300113 545660 600226 682075 1200452 1364150 1500565 2728300 3001130 3301243 6002260 6602486 7502825 13204972 15005650 16506215 30011300 33012430 66024860 82531075 165062150 330124300