Search a number
-
+
2385738240 = 2935310643
BaseRepresentation
bin1000111000110011…
…0111101000000000
320011021012001121120
42032030313220000
514341222110430
61032422352240
7113056304034
oct21614675000
96137161546
102385738240
1110147614a6
12566b8b680
132c0364342
14188bca1c4
15de6aa610
hex8e337a00

2385738240 has 80 divisors (see below), whose sum is σ = 7626931488. Its totient is φ = 636194816.

The previous prime is 2385738209. The next prime is 2385738247. The reversal of 2385738240 is 428375832.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 2385738192 and 2385738201.

It is not an unprimeable number, because it can be changed into a prime (2385738247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 147642 + ... + 163001.

Almost surely, 22385738240 is an apocalyptic number.

2385738240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2385738240 is an abundant number, since it is smaller than the sum of its proper divisors (5241193248).

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

2385738240 is an equidigital number, since it uses as much as digits as its factorization.

2385738240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310669 (or 310653 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The square root of 2385738240 is about 48844.0194906193. The cubic root of 2385738240 is about 1336.2086040457.

The spelling of 2385738240 in words is "two billion, three hundred eighty-five million, seven hundred thirty-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1280 1536 1920 2560 3840 7680 310643 621286 931929 1242572 1553215 1863858 2485144 3106430 3727716 4659645 4970288 6212860 7455432 9319290 9940576 12425720 14910864 18638580 19881152 24851440 29821728 37277160 39762304 49702880 59643456 74554320 79524608 99405760 119286912 149108640 159049216 198811520 238573824 298217280 397623040 477147648 596434560 795246080 1192869120 2385738240