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2330624 = 212569
BaseRepresentation
bin1000111001000000000000
311101102000102
420321000000
51044034444
6121541532
725544552
oct10710000
94342012
102330624
11135203a
129448a8
13637a8a
144494d2
1531084e
hex239000

2330624 has 26 divisors (see below), whose sum is σ = 4668870. Its totient is φ = 1163264.

The previous prime is 2330617. The next prime is 2330633. The reversal of 2330624 is 4260332.

2330624 is nontrivially palindromic in base 7.

It can be written as a sum of positive squares in only one way, i.e., 1638400 + 692224 = 1280^2 + 832^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2330596 and 2330605.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3812 + ... + 4380.

22330624 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 2330624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2334435).

2330624 is an abundant number, since it is smaller than the sum of its proper divisors (2338246).

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

2330624 is an frugal number, since it uses more digits than its factorization.

2330624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 2330624 is about 1526.6381365602. The cubic root of 2330624 is about 132.5838842269.

Adding to 2330624 its reverse (4260332), we get a palindrome (6590956).

The spelling of 2330624 in words is "two million, three hundred thirty thousand, six hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 128 256 512 569 1024 1138 2048 2276 4096 4552 9104 18208 36416 72832 145664 291328 582656 1165312 2330624