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3105405450 = 2325272773559
BaseRepresentation
bin1011100100011000…
…1011101000001010
322000102100221102200
42321012023220022
522324440433300
61232051341030
7136645340130
oct27106135012
98012327380
103105405450
111353a14094
12727bb1776
133a649b524
14216603750
15132965200
hexb918ba0a

3105405450 has 144 divisors (see below), whose sum is σ = 9572184960. Its totient is φ = 707045760.

The previous prime is 3105405367. The next prime is 3105405497. The reversal of 3105405450 is 545045013.

It is a super-3 number, since 3×31054054503 (a number of 29 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 870771 + ... + 874329.

Almost surely, 23105405450 is an apocalyptic number.

3105405450 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 3105405450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4786092480).

3105405450 is an abundant number, since it is smaller than the sum of its proper divisors (6466779510).

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

3105405450 is a wasteful number, since it uses less digits than its factorization.

3105405450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3861 (or 3853 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 3105405450 is about 55726.1648599650. The cubic root of 3105405450 is about 1458.9467367480.

The spelling of 3105405450 in words is "three billion, one hundred five million, four hundred five thousand, four hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 30 35 42 45 50 63 70 75 90 105 126 150 175 210 225 277 315 350 450 525 554 630 831 1050 1385 1575 1662 1939 2493 2770 3150 3559 3878 4155 4986 5817 6925 7118 8310 9695 10677 11634 12465 13850 17451 17795 19390 20775 21354 24913 24930 29085 32031 34902 35590 41550 48475 49826 53385 58170 62325 64062 74739 87255 88975 96950 106770 124565 124650 145425 149478 160155 174510 177950 224217 249130 266925 290850 320310 373695 436275 448434 533850 622825 747390 800775 872550 985843 1121085 1245650 1601550 1868475 1971686 2242170 2957529 3736950 4929215 5605425 5915058 6900901 8872587 9858430 11210850 13801802 14787645 17745174 20702703 24646075 29575290 34504505 41405406 44362935 49292150 62108109 69009010 73938225 88725870 103513515 124216218 147876450 172522525 207027030 221814675 310540545 345045050 443629350 517567575 621081090 1035135150 1552702725 3105405450