Search a number
-
+
2340146200 = 235273894297
BaseRepresentation
bin1000101101111011…
…1100110000011000
320001002101202002111
42023132330300120
514243034134300
61024113242104
7111663625450
oct21336746030
96032352074
102340146200
11aa0a51527
12553863334
132b3a903c2
14182b1cd60
15da6a19ba
hex8b7bcc18

2340146200 has 96 divisors (see below), whose sum is σ = 6235538400. Its totient is φ = 800087040.

The previous prime is 2340146099. The next prime is 2340146219. The reversal of 2340146200 is 26410432.

It is a happy number.

2340146200 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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 542452 + ... + 546748.

It is an arithmetic number, because the mean of its divisors is an integer number (64953525).

Almost surely, 22340146200 is an apocalyptic number.

2340146200 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 2340146200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3117769200).

2340146200 is an abundant number, since it is smaller than the sum of its proper divisors (3895392200).

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

2340146200 is a wasteful number, since it uses less digits than its factorization.

2340146200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4709 (or 4700 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 2340146200 is about 48375.0576227047. The cubic root of 2340146200 is about 1327.6420428632.

Adding to 2340146200 its reverse (26410432), we get a palindrome (2366556632).

The spelling of 2340146200 in words is "two billion, three hundred forty million, one hundred forty-six thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 389 700 778 1400 1556 1945 2723 3112 3890 4297 5446 7780 8594 9725 10892 13615 15560 17188 19450 21485 21784 27230 30079 34376 38900 42970 54460 60158 68075 77800 85940 107425 108920 120316 136150 150395 171880 214850 240632 272300 300790 429700 544600 601580 751975 859400 1203160 1503950 1671533 3007900 3343066 6015800 6686132 8357665 11700731 13372264 16715330 23401462 33430660 41788325 46802924 58503655 66861320 83576650 93605848 117007310 167153300 234014620 292518275 334306600 468029240 585036550 1170073100 2340146200