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30242240 = 265723587
BaseRepresentation
bin111001101011…
…1010111000000
32002220110112222
41303113113000
530220222430
63000110212
7515024540
oct163272700
962813488
1030242240
1116086496
12a165368
13635b322
144033320
1529c59e5
hex1cd75c0

30242240 has 112 divisors (see below), whose sum is σ = 86026752. Its totient is φ = 9901056.

The previous prime is 30242239. The next prime is 30242249. The reversal of 30242240 is 4224203.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30242249) 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 15 ways as a sum of consecutive naturals, for example, 51227 + ... + 51813.

It is an arithmetic number, because the mean of its divisors is an integer number (768096).

Almost surely, 230242240 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 30242240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43013376).

30242240 is an abundant number, since it is smaller than the sum of its proper divisors (55784512).

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

30242240 is a wasteful number, since it uses less digits than its factorization.

30242240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

The square root of 30242240 is about 5499.2945002064. The cubic root of 30242240 is about 311.5573385050.

Adding to 30242240 its reverse (4224203), we get a palindrome (34466443).

The spelling of 30242240 in words is "thirty million, two hundred forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 28 32 35 40 46 56 64 70 80 92 112 115 140 160 161 184 224 230 280 320 322 368 448 460 560 587 644 736 805 920 1120 1174 1288 1472 1610 1840 2240 2348 2576 2935 3220 3680 4109 4696 5152 5870 6440 7360 8218 9392 10304 11740 12880 13501 16436 18784 20545 23480 25760 27002 32872 37568 41090 46960 51520 54004 65744 67505 82180 93920 94507 108008 131488 135010 164360 187840 189014 216016 262976 270020 328720 378028 432032 472535 540040 657440 756056 864064 945070 1080080 1314880 1512112 1890140 2160160 3024224 3780280 4320320 6048448 7560560 15121120 30242240