Search a number
-
+
842469348 = 2237219731033
BaseRepresentation
bin110010001101110…
…000111111100100
32011201020212200110
4302031300333210
53211133004343
6215333013020
726606604600
oct6215607744
92151225613
10842469348
113a2608766
121b6184170
13105702696
147dc62500
154de65833
hex32370fe4

842469348 has 144 divisors (see below), whose sum is σ = 2442390720. Its totient is φ = 224695296.

The previous prime is 842469311. The next prime is 842469371. The reversal of 842469348 is 843964248.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 842469297 and 842469306.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 815040 + ... + 816072.

Almost surely, 2842469348 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 842469348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1221195360).

842469348 is an abundant number, since it is smaller than the sum of its proper divisors (1599921372).

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

842469348 is a wasteful number, since it uses less digits than its factorization.

842469348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1146 (or 1137 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 48.

The square root of 842469348 is about 29025.3225305077. The cubic root of 842469348 is about 944.4624652166.

The spelling of 842469348 in words is "eight hundred forty-two million, four hundred sixty-nine thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 49 57 73 76 84 98 114 133 146 147 196 219 228 266 292 294 399 438 511 532 588 798 876 931 1022 1033 1387 1533 1596 1862 2044 2066 2774 2793 3066 3099 3577 3724 4132 4161 5548 5586 6132 6198 7154 7231 8322 9709 10731 11172 12396 14308 14462 16644 19418 19627 21462 21693 28924 29127 38836 39254 42924 43386 50617 58254 58881 67963 75409 78508 86772 101234 116508 117762 135926 137389 150818 151851 202468 203889 226227 235524 271852 274778 301636 303702 407778 412167 452454 527863 549556 607404 815556 824334 904908 961723 1055726 1432771 1583589 1648668 1923446 2111452 2865542 2885169 3167178 3695041 3846892 4298313 5731084 5770338 6334356 7390082 8596626 10029397 11085123 11540676 14780164 17193252 20058794 22170246 30088191 40117588 44340492 60176382 70205779 120352764 140411558 210617337 280823116 421234674 842469348