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3405323070 = 23251910119717
BaseRepresentation
bin1100101011111001…
…0001101100111110
322210022201100001200
43022332101230332
523433230314240
61321523520330
7150246524412
oct31276215476
98708640050
103405323070
111498241696
127b05290a6
1342366a986
14244394d42
1514de59930
hexcaf91b3e

3405323070 has 96 divisors (see below), whose sum is σ = 9412584480. Its totient is φ = 851731200.

The previous prime is 3405323069. The next prime is 3405323071. The reversal of 3405323070 is 703235043.

3405323070 is a `hidden beast` number, since 34 + 0 + 532 + 30 + 70 = 666.

It is an interprime number because it is at equal distance from previous prime (3405323069) and next prime (3405323071).

It is a super-2 number, since 2×34053230702 = 23192450422148449800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3405323071) 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 47 ways as a sum of consecutive naturals, for example, 162852 + ... + 182568.

It is an arithmetic number, because the mean of its divisors is an integer number (98047755).

Almost surely, 23405323070 is an apocalyptic number.

3405323070 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 3405323070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4706292240).

3405323070 is an abundant number, since it is smaller than the sum of its proper divisors (6007261410).

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

3405323070 is a wasteful number, since it uses less digits than its factorization.

3405323070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19850 (or 19847 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 27.

The square root of 3405323070 is about 58355.1460455717. The cubic root of 3405323070 is about 1504.4789195420.

The spelling of 3405323070 in words is "three billion, four hundred five million, three hundred twenty-three thousand, seventy".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 101 114 171 190 202 285 303 342 505 570 606 855 909 1010 1515 1710 1818 1919 3030 3838 4545 5757 9090 9595 11514 17271 19190 19717 28785 34542 39434 57570 59151 86355 98585 118302 172710 177453 197170 295755 354906 374623 591510 749246 887265 1123869 1774530 1873115 1991417 2247738 3371607 3746230 3982834 5619345 5974251 6743214 9957085 11238690 11948502 16858035 17922753 19914170 29871255 33716070 35845506 37836923 59742510 75673846 89613765 113510769 179227530 189184615 227021538 340532307 378369230 567553845 681064614 1135107690 1702661535 3405323070