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2306332640 = 255163191463
BaseRepresentation
bin1000100101110111…
…1101011111100000
312221201202211121102
42021131331133200
514210410121030
61020504413532
7111103334603
oct21135753740
95851684542
102306332640
11a83956937
125444772a8
132a9a81691
1417c43a33a
15d7722c45
hex8977d7e0

2306332640 has 96 divisors (see below), whose sum is σ = 5522743296. Its totient is φ = 910103040.

The previous prime is 2306332631. The next prime is 2306332643. The reversal of 2306332640 is 462336032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2306332643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4981049 + ... + 4981511.

It is an arithmetic number, because the mean of its divisors is an integer number (57528576).

Almost surely, 22306332640 is an apocalyptic number.

2306332640 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 2306332640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2761371648).

2306332640 is an abundant number, since it is smaller than the sum of its proper divisors (3216410656).

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

2306332640 is a wasteful number, since it uses less digits than its factorization.

2306332640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 832 (or 824 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 29.

The square root of 2306332640 is about 48024.2921863509. The cubic root of 2306332640 is about 1321.2164788242.

Adding to 2306332640 its reverse (462336032), we get a palindrome (2768668672).

The spelling of 2306332640 in words is "two billion, three hundred six million, three hundred thirty-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 163 191 326 382 463 652 764 815 926 955 1304 1528 1630 1852 1910 2315 2608 3056 3260 3704 3820 4630 5216 6112 6520 7408 7640 9260 13040 14816 15280 18520 26080 30560 31133 37040 62266 74080 75469 88433 124532 150938 155665 176866 249064 301876 311330 353732 377345 442165 498128 603752 622660 707464 754690 884330 996256 1207504 1245320 1414928 1509380 1768660 2415008 2490640 2829856 3018760 3537320 4981280 6037520 7074640 12075040 14149280 14414579 28829158 57658316 72072895 115316632 144145790 230633264 288291580 461266528 576583160 1153166320 2306332640