Search a number
-
+
9290304 = 26321272
BaseRepresentation
bin100011011100…
…001001000000
3122110222220100
4203130021000
54334242204
6531042400
7141652302
oct43341100
918428810
109290304
115275a41
123140400
131c0382a
14133b972
15c37a39
hex8dc240

9290304 has 63 divisors (see below), whose sum is σ = 26840307. Its totient is φ = 3072384.

The previous prime is 9290269. The next prime is 9290329. The reversal of 9290304 is 4030929.

The square root of 9290304 is 3048.

It is a perfect power (a square), and thus also a powerful number.

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 73089 + ... + 73215.

Almost surely, 29290304 is an apocalyptic number.

9290304 is the 3048-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9290304

9290304 is an abundant number, since it is smaller than the sum of its proper divisors (17550003).

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

9290304 is a wasteful number, since it uses less digits than its factorization.

9290304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The cubic root of 9290304 is about 210.2212633859.

The spelling of 9290304 in words is "nine million, two hundred ninety thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 127 144 192 254 288 381 508 576 762 1016 1143 1524 2032 2286 3048 4064 4572 6096 8128 9144 12192 16129 18288 24384 32258 36576 48387 64516 73152 96774 129032 145161 193548 258064 290322 387096 516128 580644 774192 1032256 1161288 1548384 2322576 3096768 4645152 9290304