Search a number
-
+
3421441140 = 2235134793329
BaseRepresentation
bin1100101111101111…
…0000110001110100
322211110001012220020
43023323300301310
524001342104030
61323301205140
7150533525025
oct31373606164
98743035806
103421441140
1114a6350407
127b5a007b0
13426ac21b0
1424658cc4c
15150590510
hexcbef0c74

3421441140 has 96 divisors (see below), whose sum is σ = 10536583680. Its totient is φ = 824272896.

The previous prime is 3421441117. The next prime is 3421441159. The reversal of 3421441140 is 411441243.

It is a self number, because there is not a number n which added to its sum of digits gives 3421441140.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10005 + ... + 83324.

It is an arithmetic number, because the mean of its divisors is an integer number (109756080).

Almost surely, 23421441140 is an apocalyptic number.

3421441140 is a gapful number since it is divisible by the number (30) 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 3421441140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5268291840).

3421441140 is an abundant number, since it is smaller than the sum of its proper divisors (7115142540).

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

3421441140 is a wasteful number, since it uses less digits than its factorization.

3421441140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93401 (or 93399 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 3421441140 is about 58493.0862581211. The cubic root of 3421441140 is about 1506.8488501298.

Adding to 3421441140 its reverse (411441243), we get a palindrome (3832882383).

The spelling of 3421441140 in words is "three billion, four hundred twenty-one million, four hundred forty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 47 52 60 65 78 94 130 141 156 188 195 235 260 282 390 470 564 611 705 780 940 1222 1410 1833 2444 2820 3055 3666 6110 7332 9165 12220 18330 36660 93329 186658 279987 373316 466645 559974 933290 1119948 1213277 1399935 1866580 2426554 2799870 3639831 4386463 4853108 5599740 6066385 7279662 8772926 12132770 13159389 14559324 17545852 18199155 21932315 24265540 26318778 36398310 43864630 52637556 57024019 65796945 72796620 87729260 114048038 131593890 171072057 228096076 263187780 285120095 342144114 570240190 684288228 855360285 1140480380 1710720570 3421441140