Search a number
-
+
342334200240 = 243254111596687
BaseRepresentation
bin1001111101101001011…
…01010101100110110000
31012201121212012020000100
410332310231111212300
521102100023401430
6421133253552400
733506234455554
oct4766455254660
91181555166010
10342334200240
1112220180554a
125641b045700
132638866c036
14127d7721864
158d89070960
hex4fb4b559b0

342334200240 has 120 divisors (see below), whose sum is σ = 1177713246528. Its totient is φ = 89062548480.

The previous prime is 342334200239. The next prime is 342334200277. The reversal of 342334200240 is 42002433243.

342334200240 is a `hidden beast` number, since 3 + 4 + 233 + 420 + 0 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5768824 + ... + 5827863.

Almost surely, 2342334200240 is an apocalyptic number.

342334200240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

342334200240 is an abundant number, since it is smaller than the sum of its proper divisors (835379046288).

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

342334200240 is a wasteful number, since it uses less digits than its factorization.

342334200240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11596747 (or 11596738 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

Adding to 342334200240 its reverse (42002433243), we get a palindrome (384336633483).

The spelling of 342334200240 in words is "three hundred forty-two billion, three hundred thirty-four million, two hundred thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 41 45 48 60 72 80 82 90 120 123 144 164 180 205 240 246 328 360 369 410 492 615 656 720 738 820 984 1230 1476 1640 1845 1968 2460 2952 3280 3690 4920 5904 7380 9840 14760 29520 11596687 23193374 34790061 46386748 57983435 69580122 92773496 104370183 115966870 139160244 173950305 185546992 208740366 231933740 278320488 347900610 417480732 463867480 475464167 521850915 556640976 695801220 834961464 927734960 950928334 1043701830 1391602440 1426392501 1669922928 1901856668 2087403660 2377320835 2783204880 2852785002 3803713336 4174807320 4279177503 4754641670 5705570004 7131962505 7607426672 8349614640 8558355006 9509283340 11411140008 14263925010 17116710012 19018566680 21395887515 22822280016 28527850020 34233420024 38037133360 42791775030 57055700040 68466840048 85583550060 114111400080 171167100120 342334200240