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2300442312 = 233717247381
BaseRepresentation
bin1000100100011101…
…1111011011001000
312221022200120121010
42021013133123020
514202403123222
61020134243520
7111002302620
oct21107373310
95838616533
102300442312
11a805a33a3
125424b65a0
132a879b58c
1417b745880
15d6e5c80c
hex891df6c8

2300442312 has 96 divisors (see below), whose sum is σ = 6982211520. Its totient is φ = 618593280.

The previous prime is 2300442311. The next prime is 2300442323. The reversal of 2300442312 is 2132440032.

2300442312 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (2300442311) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24862 + ... + 72242.

It is an arithmetic number, because the mean of its divisors is an integer number (72731370).

Almost surely, 22300442312 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 2300442312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3491105760).

2300442312 is an abundant number, since it is smaller than the sum of its proper divisors (4681769208).

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

2300442312 is a wasteful number, since it uses less digits than its factorization.

2300442312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47431 (or 47410 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 2300442312 is about 47962.9264328189. The cubic root of 2300442312 is about 1320.0907329734.

Adding to 2300442312 its reverse (2132440032), we get a palindrome (4432882344).

The spelling of 2300442312 in words is "two billion, three hundred million, four hundred forty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 51 56 68 84 102 119 136 168 204 238 289 357 408 476 578 714 867 952 1156 1428 1734 2023 2312 2856 3468 4046 6069 6936 8092 12138 16184 24276 47381 48552 94762 142143 189524 284286 331667 379048 568572 663334 805477 995001 1137144 1326668 1610954 1990002 2416431 2653336 3221908 3980004 4832862 5638339 6443816 7960008 9665724 11276678 13693109 16915017 19331448 22553356 27386218 33830034 41079327 45106712 54772436 67660068 82158654 95851763 109544872 135320136 164317308 191703526 287555289 328634616 383407052 575110578 766814104 1150221156 2300442312