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3242304 = 263213433
BaseRepresentation
bin1100010111100101000000
320002201121100
430113211000
51312223204
6153254400
736362532
oct14274500
96081540
103242304
111914a9a
121104400
13896a30
14605852
15440a39
hex317940

3242304 has 84 divisors (see below), whose sum is σ = 10031476. Its totient is φ = 995328.

The previous prime is 3242279. The next prime is 3242311. The reversal of 3242304 is 4032423.

It can be written as a sum of positive squares in 2 ways, for example, as 419904 + 2822400 = 648^2 + 1680^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7272 + ... + 7704.

Almost surely, 23242304 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 3242304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5015738).

3242304 is an abundant number, since it is smaller than the sum of its proper divisors (6789172).

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

3242304 is a wasteful number, since it uses less digits than its factorization.

3242304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 3242304 is about 1800.6398862627. The cubic root of 3242304 is about 148.0077911652.

Adding to 3242304 its reverse (4032423), we get a palindrome (7274727).

It can be divided in two parts, 324 and 2304, that multiplied together give a square (746496 = 8642).

The spelling of 3242304 in words is "three million, two hundred forty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 144 156 192 208 234 288 312 416 433 468 576 624 832 866 936 1248 1299 1732 1872 2496 2598 3464 3744 3897 5196 5629 6928 7488 7794 10392 11258 13856 15588 16887 20784 22516 27712 31176 33774 41568 45032 50661 62352 67548 83136 90064 101322 124704 135096 180128 202644 249408 270192 360256 405288 540384 810576 1080768 1621152 3242304