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2324380 = 2252331163
BaseRepresentation
bin1000110111011110011100
311101002110011
420313132130
51043340010
6121453004
725520422
oct10673634
94332404
102324380
111348383
12941164
13634c96
14447112
1530da8a
hex23779c

2324380 has 48 divisors (see below), whose sum is σ = 5289984. Its totient is φ = 855360.

The previous prime is 2324353. The next prime is 2324381. The reversal of 2324380 is 834232.

It is a d-powerful number, because it can be written as 217 + 35 + 221 + 46 + 310 + 85 + 0 .

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2324381) 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 15 ways as a sum of consecutive naturals, for example, 14179 + ... + 14341.

It is an arithmetic number, because the mean of its divisors is an integer number (110208).

22324380 is an apocalyptic number.

2324380 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 2324380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2644992).

2324380 is an abundant number, since it is smaller than the sum of its proper divisors (2965604).

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

2324380 is a wasteful number, since it uses less digits than its factorization.

2324380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 224 counting only the distinct ones).

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

The square root of 2324380 is about 1524.5917486331. The cubic root of 2324380 is about 132.4653760249.

It can be divided in two parts, 2324 and 380, that added together give a square (2704 = 522).

The spelling of 2324380 in words is "two million, three hundred twenty-four thousand, three hundred eighty".

Divisors: 1 2 4 5 10 20 23 31 46 62 92 115 124 155 163 230 310 326 460 620 652 713 815 1426 1630 2852 3260 3565 3749 5053 7130 7498 10106 14260 14996 18745 20212 25265 37490 50530 74980 101060 116219 232438 464876 581095 1162190 2324380