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3004070190 = 23511311032851
BaseRepresentation
bin1011001100001110…
…0111100100101110
321202100200120120220
42303003213210232
522123020221230
61214031352210
7134305114062
oct26303474456
97670616526
103004070190
1113017a0440
126ba082666
1338b4ab034
14206d85aa2
15128ae9d10
hexb30e792e

3004070190 has 128 divisors (see below), whose sum is σ = 8200617984. Its totient is φ = 697680000.

The previous prime is 3004070177. The next prime is 3004070191. The reversal of 3004070190 is 910704003.

It is a super-2 number, since 2×30040701902 = 18048875412893272200, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 3004070190.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3004070191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1052265 + ... + 1055115.

It is an arithmetic number, because the mean of its divisors is an integer number (64067328).

Almost surely, 23004070190 is an apocalyptic number.

3004070190 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3004070190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4100308992).

3004070190 is an abundant number, since it is smaller than the sum of its proper divisors (5196547794).

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

3004070190 is a wasteful number, since it uses less digits than its factorization.

3004070190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3006.

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 3004070190 is about 54809.3987378077. The cubic root of 3004070190 is about 1442.9015233080.

Adding to 3004070190 its reverse (910704003), we get a palindrome (3914774193).

The spelling of 3004070190 in words is "three billion, four million, seventy thousand, one hundred ninety".

Divisors: 1 2 3 5 6 10 11 15 22 30 31 33 55 62 66 93 103 110 155 165 186 206 309 310 330 341 465 515 618 682 930 1023 1030 1133 1545 1705 2046 2266 2851 3090 3193 3399 3410 5115 5665 5702 6386 6798 8553 9579 10230 11330 14255 15965 16995 17106 19158 28510 31361 31930 33990 35123 42765 47895 62722 70246 85530 88381 94083 95790 105369 156805 175615 176762 188166 210738 265143 293653 313610 351230 441905 470415 526845 530286 587306 880959 883810 940830 972191 1053690 1325715 1468265 1761918 1944382 2651430 2916573 2936530 3230183 4404795 4860955 5833146 6460366 8809590 9103243 9690549 9721910 14582865 16150915 18206486 19381098 27309729 29165730 32301830 45516215 48452745 54619458 91032430 96905490 100135673 136548645 200271346 273097290 300407019 500678365 600814038 1001356730 1502035095 3004070190