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30243024 = 2433773137
BaseRepresentation
bin111001101011…
…1100011010000
32002220111122000
41303113203100
530220234044
63000114000
7515030040
oct163274320
962814560
1030243024
1116087039
12a165900
13635b7a6
144033720
1529c5d69
hex1cd78d0

30243024 has 160 divisors (see below), whose sum is σ = 101303040. Its totient is φ = 8460288.

The previous prime is 30243013. The next prime is 30243029. The reversal of 30243024 is 42034203.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 30242988 and 30243006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30243029) 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 31 ways as a sum of consecutive naturals, for example, 220684 + ... + 220820.

It is an arithmetic number, because the mean of its divisors is an integer number (633144).

Almost surely, 230243024 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 30243024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50651520).

30243024 is an abundant number, since it is smaller than the sum of its proper divisors (71060016).

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

30243024 is a wasteful number, since it uses less digits than its factorization.

30243024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 30243024 is about 5499.3657816152. The cubic root of 30243024 is about 311.5600307531.

Adding to 30243024 its reverse (42034203), we get a palindrome (72277227).

The spelling of 30243024 in words is "thirty million, two hundred forty-three thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 73 84 108 112 126 137 144 146 168 189 216 219 252 274 292 336 378 411 432 438 504 511 548 584 657 756 822 876 959 1008 1022 1096 1168 1233 1314 1512 1533 1644 1752 1918 1971 2044 2192 2466 2628 2877 3024 3066 3288 3504 3699 3836 3942 4088 4599 4932 5256 5754 6132 6576 7398 7672 7884 8176 8631 9198 9864 10001 10512 11508 12264 13797 14796 15344 15768 17262 18396 19728 20002 23016 24528 25893 27594 29592 30003 31536 34524 36792 40004 46032 51786 55188 59184 60006 69048 70007 73584 80008 90009 103572 110376 120012 138096 140014 160016 180018 207144 210021 220752 240024 270027 280028 360036 414288 420042 480048 540054 560056 630063 720072 840084 1080108 1120112 1260126 1440144 1680168 1890189 2160216 2520252 3360336 3780378 4320432 5040504 7560756 10081008 15121512 30243024