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2324364 = 223725967
BaseRepresentation
bin1000110111011110001100
311101002102120
420313132030
51043334424
6121452540
725520400
oct10673614
94332376
102324364
111348369
12941150
13634c83
14447100
1530da79
hex23778c

2324364 has 72 divisors (see below), whose sum is σ = 6511680. Its totient is φ = 643104.

The previous prime is 2324353. The next prime is 2324381. The reversal of 2324364 is 4634232.

It is a happy number.

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

It is a d-powerful number, because it can be written as 211 + 34 + 221 + 44 + 311 + 66 + 45 .

It is a plaindrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34659 + ... + 34725.

It is an arithmetic number, because the mean of its divisors is an integer number (90440).

22324364 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 2324364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3255840).

2324364 is an abundant number, since it is smaller than the sum of its proper divisors (4187316).

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

2324364 is a wasteful number, since it uses less digits than its factorization.

2324364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 138 counting only the distinct ones).

The product of its digits is 3456, while the sum is 24.

The square root of 2324364 is about 1524.5865013177. The cubic root of 2324364 is about 132.4650720799.

Adding to 2324364 its reverse (4634232), we get a palindrome (6958596).

The spelling of 2324364 in words is "two million, three hundred twenty-four thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 59 67 84 98 118 134 147 177 196 201 236 268 294 354 402 413 469 588 708 804 826 938 1239 1407 1652 1876 2478 2814 2891 3283 3953 4956 5628 5782 6566 7906 8673 9849 11564 11859 13132 15812 17346 19698 23718 27671 34692 39396 47436 55342 83013 110684 166026 193697 332052 387394 581091 774788 1162182 2324364