Search a number
-
+
2334023340 = 2235113899091
BaseRepresentation
bin1000101100011110…
…0101111010101100
320000122212200002220
42023013211322230
514240002221330
61023334115340
7111560604525
oct21307457254
96018780086
102334023340
11a9854a310
125517abb50
132b27284cc
14181da784c
15d9d92710
hex8b1e5eac

2334023340 has 96 divisors (see below), whose sum is σ = 7148494080. Its totient is φ = 564307200.

The previous prime is 2334023339. The next prime is 2334023383. The reversal of 2334023340 is 433204332.

It is a self number, because there is not a number n which added to its sum of digits gives 2334023340.

It is an unprimeable number.

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, 252195 + ... + 261285.

It is an arithmetic number, because the mean of its divisors is an integer number (74463480).

Almost surely, 22334023340 is an apocalyptic number.

2334023340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2334023340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3574247040).

2334023340 is an abundant number, since it is smaller than the sum of its proper divisors (4814470740).

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

2334023340 is a wasteful number, since it uses less digits than its factorization.

2334023340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9503 (or 9501 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 24.

The square root of 2334023340 is about 48311.7308735673. The cubic root of 2334023340 is about 1326.4831314610.

Adding to 2334023340 its reverse (433204332), we get a palindrome (2767227672).

The spelling of 2334023340 in words is "two billion, three hundred thirty-four million, twenty-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 389 660 778 1167 1556 1945 2334 3890 4279 4668 5835 7780 8558 9091 11670 12837 17116 18182 21395 23340 25674 27273 36364 42790 45455 51348 54546 64185 85580 90910 100001 109092 128370 136365 181820 200002 256740 272730 300003 400004 500005 545460 600006 1000010 1200012 1500015 2000020 3000030 3536399 6000060 7072798 10609197 14145596 17681995 21218394 35363990 38900389 42436788 53045985 70727980 77800778 106091970 116701167 155601556 194501945 212183940 233402334 389003890 466804668 583505835 778007780 1167011670 2334023340