Search a number
-
+
3422430900 = 2233527181081
BaseRepresentation
bin1100101111111110…
…0010011010110100
322211111220111121000
43023333202122310
524002120242100
61323334323300
7150545116440
oct31377423264
98744814530
103422430900
1114a6966a99
127b61b9530
1342707a855
14246769820
151506d8900
hexcbfe26b4

3422430900 has 144 divisors (see below), whose sum is σ = 12574334080. Its totient is φ = 782265600.

The previous prime is 3422430899. The next prime is 3422430929. The reversal of 3422430900 is 90342243.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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, 71641 + ... + 109440.

Almost surely, 23422430900 is an apocalyptic number.

3422430900 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3422430900 is an abundant number, since it is smaller than the sum of its proper divisors (9151903180).

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

3422430900 is a wasteful number, since it uses less digits than its factorization.

3422430900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181111 (or 181098 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 3422430900 is about 58501.5461334143. The cubic root of 3422430900 is about 1506.9941373413.

The spelling of 3422430900 in words is "three billion, four hundred twenty-two million, four hundred thirty thousand, nine hundred".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 25 27 28 30 35 36 42 45 50 54 60 63 70 75 84 90 100 105 108 126 135 140 150 175 180 189 210 225 252 270 300 315 350 378 420 450 525 540 630 675 700 756 900 945 1050 1260 1350 1575 1890 2100 2700 3150 3780 4725 6300 9450 18900 181081 362162 543243 724324 905405 1086486 1267567 1629729 1810810 2172972 2535134 2716215 3259458 3621620 3802701 4527025 4889187 5070268 5432430 6337835 6518916 7605402 8148645 9054050 9778374 10864860 11408103 12675670 13581075 15210804 16297290 18108100 19013505 19556748 22816206 24445935 25351340 27162150 31689175 32594580 34224309 38027010 40743225 45632412 48891870 54324300 57040515 63378350 68448618 76054020 81486450 95067525 97783740 114081030 122229675 126756700 136897236 162972900 171121545 190135050 228162060 244459350 285202575 342243090 380270100 488918700 570405150 684486180 855607725 1140810300 1711215450 3422430900