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30843280 = 2451347631
BaseRepresentation
bin111010110101…
…0000110010000
32011001000000201
41311222012100
530343441110
63021024544
7523110046
oct165520620
964030021
1030843280
1116457016
12a3b5154
13650ba80
14414c396
152a93b3a
hex1d6a190

30843280 has 80 divisors (see below), whose sum is σ = 78994944. Its totient is φ = 11128320.

The previous prime is 30843277. The next prime is 30843283. The reversal of 30843280 is 8234803.

It is an interprime number because it is at equal distance from previous prime (30843277) and next prime (30843283).

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (30843283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48565 + ... + 49195.

Almost surely, 230843280 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 30843280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39497472).

30843280 is an abundant number, since it is smaller than the sum of its proper divisors (48151664).

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

30843280 is a wasteful number, since it uses less digits than its factorization.

30843280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 30843280 is about 5553.6726587007. The cubic root of 30843280 is about 313.6077973384.

The spelling of 30843280 in words is "thirty million, eight hundred forty-three thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 47 52 65 80 94 104 130 188 208 235 260 376 470 520 611 631 752 940 1040 1222 1262 1880 2444 2524 3055 3155 3760 4888 5048 6110 6310 8203 9776 10096 12220 12620 16406 24440 25240 29657 32812 41015 48880 50480 59314 65624 82030 118628 131248 148285 164060 237256 296570 328120 385541 474512 593140 656240 771082 1186280 1542164 1927705 2372560 3084328 3855410 6168656 7710820 15421640 30843280