Search a number
-
+
3225204304 = 24733591637
BaseRepresentation
bin1100000000111100…
…1011011001010000
322022202210100120021
43000033023121100
523101123014204
61252011153224
7142631533000
oct30017133120
98282710507
103225204304
1114055a8803
12760145814
133c5254a1a
142284aa000
1513d22b154
hexc03cb650

3225204304 has 80 divisors (see below), whose sum is σ = 7312032000. Its totient is φ = 1377538176.

The previous prime is 3225204287. The next prime is 3225204337. The reversal of 3225204304 is 4034025223.

It is a congruent number.

It is an unprimeable number.

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, 1969374 + ... + 1971010.

It is an arithmetic number, because the mean of its divisors is an integer number (91400400).

Almost surely, 23225204304 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 3225204304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3656016000).

3225204304 is an abundant number, since it is smaller than the sum of its proper divisors (4086827696).

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

3225204304 is a wasteful number, since it uses less digits than its factorization.

3225204304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2025 (or 2005 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 25.

The square root of 3225204304 is about 56790.8822259348. The cubic root of 3225204304 is about 1477.4713798337.

Adding to 3225204304 its reverse (4034025223), we get a palindrome (7259229527).

The spelling of 3225204304 in words is "three billion, two hundred twenty-five million, two hundred four thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 343 359 392 686 718 784 1372 1436 1637 2513 2744 2872 3274 5026 5488 5744 6548 10052 11459 13096 17591 20104 22918 26192 35182 40208 45836 70364 80213 91672 123137 140728 160426 183344 246274 281456 320852 492548 561491 587683 641704 985096 1122982 1175366 1283408 1970192 2245964 2350732 4113781 4491928 4701464 8227562 8983856 9402928 16455124 28796467 32910248 57592934 65820496 115185868 201575269 230371736 403150538 460743472 806301076 1612602152 3225204304