Search a number
-
+
4345320235434 = 232326741948767
BaseRepresentation
bin111111001110111001010…
…001001110000110101010
3120101102000211122020011120
4333032321101032012222
51032143203440013214
613124113525040110
7625640041402653
oct77167121160652
916342024566146
104345320235434
111425926a995a2
125a219ab56036
132569b9c9c8a9
1411045947052a
1578072261ea9
hex3f3b944e1aa

4345320235434 has 96 divisors (see below), whose sum is σ = 9242714234880. Its totient is φ = 1361500684896.

The previous prime is 4345320235381. The next prime is 4345320235489.

4345320235434 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 89079319 + ... + 89128085.

It is an arithmetic number, because the mean of its divisors is an integer number (96278273280).

Almost surely, 24345320235434 is an apocalyptic number.

4345320235434 is an abundant number, since it is smaller than the sum of its proper divisors (4897393999446).

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

4345320235434 is a wasteful number, since it uses less digits than its factorization.

4345320235434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49304 (or 49281 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 42.

The spelling of 4345320235434 in words is "four trillion, three hundred forty-five billion, three hundred twenty million, two hundred thirty-five thousand, four hundred thirty-four".

Divisors: 1 2 3 6 23 46 67 69 134 138 201 402 419 529 838 1058 1257 1541 1587 2514 3082 3174 4623 9246 9637 19274 28073 28911 35443 48767 56146 57822 70886 84219 97534 106329 146301 168438 212658 221651 292602 443302 645679 664953 1121641 1291358 1329906 1937037 2243282 3267389 3364923 3874074 6534778 6729846 9802167 14850617 19604334 20433373 25797743 29701234 40866746 44551851 51595486 61300119 75149947 77393229 89103702 122600238 150299894 154786458 225449841 450899682 469967579 939935158 1369035991 1409902737 1728448781 2738071982 2819805474 3456897562 4107107973 5185346343 8214215946 10370692686 10809254317 21618508634 31487827793 32427762951 62975655586 64855525902 94463483379 188926966758 724220039239 1448440078478 2172660117717 4345320235434