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2324320 = 25573199
BaseRepresentation
bin1000110111011101100000
311101002100221
420313131200
51043334240
6121452424
725520305
oct10673540
94332327
102324320
111348329
12941114
13634c4b
144470ac
1530da4a
hex237760

2324320 has 48 divisors (see below), whose sum is σ = 5594400. Its totient is φ = 912384.

The previous prime is 2324317. The next prime is 2324351. The reversal of 2324320 is 234232.

2324320 is digitally balanced in base 2, because in such base 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 (16).

It is a junction number, because it is equal to n+sod(n) for n = 2324294 and 2324303.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 11581 + ... + 11779.

It is an arithmetic number, because the mean of its divisors is an integer number (116550).

22324320 is an apocalyptic number.

2324320 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 2324320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2797200).

2324320 is an abundant number, since it is smaller than the sum of its proper divisors (3270080).

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

2324320 is a wasteful number, since it uses less digits than its factorization.

2324320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 2324320 is about 1524.5720711072. The cubic root of 2324320 is about 132.4642362240.

Adding to 2324320 its reverse (234232), we get a palindrome (2558552).

The spelling of 2324320 in words is "two million, three hundred twenty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 73 80 146 160 199 292 365 398 584 730 796 995 1168 1460 1592 1990 2336 2920 3184 3980 5840 6368 7960 11680 14527 15920 29054 31840 58108 72635 116216 145270 232432 290540 464864 581080 1162160 2324320