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3030240640 = 27573132161
BaseRepresentation
bin1011010010011101…
…1100110110000000
321211011221011200211
42310213130312000
522201220200030
61220404323504
7135043422550
oct26447346600
97734834624
103030240640
111315545709
127069a3594
13393a41bcb
1420a639160
1512b06912a
hexb49dcd80

3030240640 has 128 divisors (see below), whose sum is σ = 8309344320. Its totient is φ = 1035141120.

The previous prime is 3030240637. The next prime is 3030240643. The reversal of 3030240640 is 460420303.

It is an interprime number because it is at equal distance from previous prime (3030240637) and next prime (3030240643).

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3030240643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1401160 + ... + 1403320.

Almost surely, 23030240640 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 3030240640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4154672160).

3030240640 is an abundant number, since it is smaller than the sum of its proper divisors (5279103680).

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

3030240640 is a wasteful number, since it uses less digits than its factorization.

3030240640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2500 (or 2488 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 3030240640 is about 55047.6215653320. The cubic root of 3030240640 is about 1447.0794388927.

Adding to 3030240640 its reverse (460420303), we get a palindrome (3490660943).

The spelling of 3030240640 in words is "three billion, thirty million, two hundred forty thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 280 313 320 448 560 626 640 896 1120 1252 1565 2161 2191 2240 2504 3130 4322 4382 4480 5008 6260 8644 8764 10016 10805 10955 12520 15127 17288 17528 20032 21610 21910 25040 30254 34576 35056 40064 43220 43820 50080 60508 69152 70112 75635 86440 87640 100160 121016 138304 140224 151270 172880 175280 200320 242032 276608 280448 302540 345760 350560 484064 605080 676393 691520 701120 968128 1210160 1352786 1383040 1402240 1936256 2420320 2705572 3381965 4734751 4840640 5411144 6763930 9469502 9681280 10822288 13527860 18939004 21644576 23673755 27055720 37878008 43289152 47347510 54111440 75756016 86578304 94695020 108222880 151512032 189390040 216445760 303024064 378780080 432891520 606048128 757560160 1515120320 3030240640