Search a number
-
+
1634426220 = 2235712893019
BaseRepresentation
bin110000101101011…
…0101110101101100
311012220110110021110
41201122311311230
511321403114340
6430103232020
755334252010
oct14132656554
94186413243
101634426220
11769655679
12397448610
132007ca60b
141170d6540
159874e680
hex616b5d6c

1634426220 has 96 divisors (see below), whose sum is σ = 5235955200. Its totient is φ = 373169664.

The previous prime is 1634426219. The next prime is 1634426251. The reversal of 1634426220 is 226244361.

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

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 539871 + ... + 542889.

It is an arithmetic number, because the mean of its divisors is an integer number (54541200).

Almost surely, 21634426220 is an apocalyptic number.

1634426220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1634426220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2617977600).

1634426220 is an abundant number, since it is smaller than the sum of its proper divisors (3601528980).

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

1634426220 is a wasteful number, since it uses less digits than its factorization.

1634426220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4327 (or 4325 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 1634426220 is about 40428.0375482165. The cubic root of 1634426220 is about 1177.9362135331.

The spelling of 1634426220 in words is "one billion, six hundred thirty-four million, four hundred twenty-six thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 1289 2578 3019 3867 5156 6038 6445 7734 9023 9057 12076 12890 15095 15468 18046 18114 19335 21133 25780 27069 30190 36092 36228 38670 42266 45115 45285 54138 60380 63399 77340 84532 90230 90570 105665 108276 126798 135345 180460 181140 211330 253596 270690 316995 422660 541380 633990 1267980 3891491 7782982 11674473 15565964 19457455 23348946 27240437 38914910 46697892 54480874 58372365 77829820 81721311 108961748 116744730 136202185 163442622 233489460 272404370 326885244 408606555 544808740 817213110 1634426220