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2323368 = 233223261
BaseRepresentation
bin1000110111001110101000
311101001001200
420313032220
51043321433
6121444200
725514445
oct10671650
94331050
102323368
111347643
12940660
13634698
144469cc
1530d613
hex2373a8

2323368 has 72 divisors (see below), whose sum is σ = 6685770. Its totient is φ = 728640.

The previous prime is 2323367. The next prime is 2323369. The reversal of 2323368 is 8633232.

2323368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2323367) and next prime (2323369).

It can be written as a sum of positive squares in only one way, i.e., 2304324 + 19044 = 1518^2 + 138^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (2323367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 38058 + ... + 38118.

22323368 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 2323368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3342885).

2323368 is an abundant number, since it is smaller than the sum of its proper divisors (4362402).

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

2323368 is a wasteful number, since it uses less digits than its factorization.

2323368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 89 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 2323368 is about 1524.2598203718. The cubic root of 2323368 is about 132.4461487585.

It can be divided in two parts, 232 and 3368, that added together give a square (3600 = 602).

The spelling of 2323368 in words is "two million, three hundred twenty-three thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 61 69 72 92 122 138 183 184 207 244 276 366 414 488 529 549 552 732 828 1058 1098 1403 1464 1587 1656 2116 2196 2806 3174 4209 4232 4392 4761 5612 6348 8418 9522 11224 12627 12696 16836 19044 25254 32269 33672 38088 50508 64538 96807 101016 129076 193614 258152 290421 387228 580842 774456 1161684 2323368