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3034133760 = 28357112877
BaseRepresentation
bin1011010011011001…
…0011010100000000
321211110020222001110
42310312103110000
522203214240020
61221024003320
7135121466010
oct26466232400
97743228043
103034133760
111317764669
12708160540
133947a5c28
1420ad6dc40
1512b5878e0
hexb4d93500

3034133760 has 144 divisors (see below), whose sum is σ = 11074686336. Its totient is φ = 693510144.

The previous prime is 3034133743. The next prime is 3034133777. The reversal of 3034133760 is 673314303.

It is an interprime number because it is at equal distance from previous prime (3034133743) and next prime (3034133777).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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, 29559 + ... + 83318.

It is an arithmetic number, because the mean of its divisors is an integer number (76907544).

Almost surely, 23034133760 is an apocalyptic number.

3034133760 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3034133760 is an abundant number, since it is smaller than the sum of its proper divisors (8040552576).

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

3034133760 is a wasteful number, since it uses less digits than its factorization.

3034133760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112908 (or 112894 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 30.

The square root of 3034133760 is about 55082.9715974002. The cubic root of 3034133760 is about 1447.6988883766.

The spelling of 3034133760 in words is "three billion, thirty-four million, one hundred thirty-three thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 256 280 320 336 384 420 448 480 560 640 672 768 840 896 960 1120 1280 1344 1680 1792 1920 2240 2688 3360 3840 4480 5376 6720 8960 13440 26880 112877 225754 338631 451508 564385 677262 790139 903016 1128770 1354524 1580278 1693155 1806032 2257540 2370417 2709048 3160556 3386310 3612064 3950695 4515080 4740834 5418096 6321112 6772620 7224128 7901390 9030160 9481668 10836192 11852085 12642224 13545240 14448256 15802780 18060320 18963336 21672384 23704170 25284448 27090480 28896512 31605560 36120640 37926672 43344768 47408340 50568896 54180960 63211120 72241280 75853344 86689536 94816680 101137792 108361920 126422240 144482560 151706688 189633360 202275584 216723840 252844480 303413376 379266720 433447680 505688960 606826752 758533440 1011377920 1517066880 3034133760