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30288300 = 22352714423
BaseRepresentation
bin111001110001…
…0100110101100
32002222210201220
41303202212230
530223211200
63001103340
7515306040
oct163424654
962883656
1030288300
1116108059
12a187b50
136376293
144046020
1529d44a0
hex1ce29ac

30288300 has 72 divisors (see below), whose sum is σ = 100160256. Its totient is φ = 6922560.

The previous prime is 30288287. The next prime is 30288301. The reversal of 30288300 is 388203.

It is a super-2 number, since 2×302883002 = 1834762233780000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (30288301) 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, 5112 + ... + 9311.

Almost surely, 230288300 is an apocalyptic number.

30288300 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30288300 is an abundant number, since it is smaller than the sum of its proper divisors (69871956).

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

30288300 is a wasteful number, since it uses less digits than its factorization.

30288300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14447 (or 14440 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 30288300 is about 5503.4807167828. The cubic root of 30288300 is about 311.7154292176.

The spelling of 30288300 in words is "thirty million, two hundred eighty-eight thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 2100 14423 28846 43269 57692 72115 86538 100961 144230 173076 201922 216345 288460 302883 360575 403844 432690 504805 605766 721150 865380 1009610 1081725 1211532 1442300 1514415 2019220 2163450 2524025 3028830 4326900 5048050 6057660 7572075 10096100 15144150 30288300