Search a number
-
+
9450000340 = 22511233894801
BaseRepresentation
bin10001100110100001…
…11000111111010100
3220101120211202102121
420303100320333110
5123323200002330
64201414145324
7453115451254
oct106320707724
926346752377
109450000340
11400a308140
1219b8952244
13b77a7a1a1
146590b3964
153a496a17a
hex233438fd4

9450000340 has 96 divisors (see below), whose sum is σ = 22653146880. Its totient is φ = 3277824000.

The previous prime is 9450000319. The next prime is 9450000347. The reversal of 9450000340 is 430000549.

9450000340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9450000347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1965940 + ... + 1970740.

It is an arithmetic number, because the mean of its divisors is an integer number (235970280).

Almost surely, 29450000340 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 9450000340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11326573440).

9450000340 is an abundant number, since it is smaller than the sum of its proper divisors (13203146540).

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

9450000340 is a wasteful number, since it uses less digits than its factorization.

9450000340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5233 (or 5231 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 9450000340 is about 97211.1122248892. The cubic root of 9450000340 is about 2114.1896449748.

Adding to 9450000340 its reverse (430000549), we get a palindrome (9880000889).

The spelling of 9450000340 in words is "nine billion, four hundred fifty million, three hundred forty", and thus it is an aban number.

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 92 110 115 220 230 253 389 460 506 778 1012 1265 1556 1945 2530 3890 4279 4801 5060 7780 8558 8947 9602 17116 17894 19204 21395 24005 35788 42790 44735 48010 52811 85580 89470 96020 98417 105622 110423 178940 196834 211244 220846 264055 393668 441692 492085 528110 552115 984170 1056220 1104230 1214653 1867589 1968340 2208460 2429306 3735178 4858612 6073265 7470356 9337945 12146530 18675890 20543479 24293060 37351780 41086958 42954547 82173916 85909094 102717395 171818188 205434790 214772735 410869580 429545470 472500017 859090940 945000034 1890000068 2362500085 4725000170 9450000340