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3371040330 = 2357172932561
BaseRepresentation
bin1100100011101101…
…1111111001001010
322200221012120222120
43020323133321022
523400441242310
61314301032110
7146352240630
oct31073377112
98627176876
103371040330
11147a956549
127a0b55636
13419526528
1423d9cd350
1514ae36b70
hexc8edfe4a

3371040330 has 128 divisors (see below), whose sum is σ = 10128084480. Its totient is φ = 700170240.

The previous prime is 3371040329. The next prime is 3371040331. The reversal of 3371040330 is 330401733.

It is an interprime number because it is at equal distance from previous prime (3371040329) and next prime (3371040331).

It is a super-2 number, since 2×33710403302 = 22727825812973017800, 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 3371040330.

It is not an unprimeable number, because it can be changed into a prime (3371040331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 87250 + ... + 119810.

It is an arithmetic number, because the mean of its divisors is an integer number (79125660).

Almost surely, 23371040330 is an apocalyptic number.

3371040330 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 3371040330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5064042240).

3371040330 is an abundant number, since it is smaller than the sum of its proper divisors (6757044150).

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

3371040330 is a wasteful number, since it uses less digits than its factorization.

3371040330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32624.

The product of its (nonzero) digits is 2268, while the sum is 24.

The square root of 3371040330 is about 58060.6607781896. The cubic root of 3371040330 is about 1499.4131526590.

The spelling of 3371040330 in words is "three billion, three hundred seventy-one million, forty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 17 21 29 30 34 35 42 51 58 70 85 87 102 105 119 145 170 174 203 210 238 255 290 357 406 435 493 510 595 609 714 870 986 1015 1190 1218 1479 1785 2030 2465 2958 3045 3451 3570 4930 6090 6902 7395 10353 14790 17255 20706 32561 34510 51765 65122 97683 103530 162805 195366 227927 325610 455854 488415 553537 683781 944269 976830 1107074 1139635 1367562 1660611 1888538 2279270 2767685 2832807 3321222 3418905 3874759 4721345 5535370 5665614 6609883 6837810 7749518 8303055 9442690 11624277 13219766 14164035 16052573 16606110 19373795 19829649 23248554 28328070 32105146 33049415 38747590 39659298 48157719 58121385 66098830 80262865 96315438 99148245 112368011 116242770 160525730 198296490 224736022 240788595 337104033 481577190 561840055 674208066 1123680110 1685520165 3371040330