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30327000 = 2335311919
BaseRepresentation
bin111001110110…
…0000011011000
32010001202211020
41303230003120
530230431000
63002002440
7515526624
oct163540330
963052736
1030327000
1116134140
12a1a6420
13638aa92
144056184
1529e0ba0
hex1cec0d8

30327000 has 128 divisors (see below), whose sum is σ = 103334400. Its totient is φ = 7344000.

The previous prime is 30326999. The next prime is 30327001. The reversal of 30327000 is 72303.

It is an interprime number because it is at equal distance from previous prime (30326999) and next prime (30327001).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30327001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32541 + ... + 33459.

It is an arithmetic number, because the mean of its divisors is an integer number (807300).

Almost surely, 230327000 is an apocalyptic number.

30327000 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 30327000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51667200).

30327000 is an abundant number, since it is smaller than the sum of its proper divisors (73007400).

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

30327000 is a wasteful number, since it uses less digits than its factorization.

30327000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 954 (or 940 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 15.

The square root of 30327000 is about 5506.9955511150. The cubic root of 30327000 is about 311.8481345072.

Adding to 30327000 its reverse (72303), we get a palindrome (30399303).

The spelling of 30327000 in words is "thirty million, three hundred twenty-seven thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 125 132 150 165 200 220 250 264 275 300 330 375 440 500 550 600 660 750 825 919 1000 1100 1320 1375 1500 1650 1838 2200 2750 2757 3000 3300 3676 4125 4595 5500 5514 6600 7352 8250 9190 10109 11000 11028 13785 16500 18380 20218 22056 22975 27570 30327 33000 36760 40436 45950 50545 55140 60654 68925 80872 91900 101090 110280 114875 121308 137850 151635 183800 202180 229750 242616 252725 275700 303270 344625 404360 459500 505450 551400 606540 689250 758175 919000 1010900 1213080 1263625 1378500 1516350 2021800 2527250 2757000 3032700 3790875 5054500 6065400 7581750 10109000 15163500 30327000