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9042304 = 27411723
BaseRepresentation
bin100010011111…
…100110000000
3122000101201011
4202133212000
54303323204
6521450304
7136600255
oct42374600
918011634
109042304
115116687
123040994
131b4799b
1412b542c
15bd9304
hex89f980

9042304 has 32 divisors (see below), whose sum is σ = 18464040. Its totient is φ = 4408320.

The previous prime is 9042251. The next prime is 9042307. The reversal of 9042304 is 4032409.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9042307) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4387 + ... + 6109.

Almost surely, 29042304 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 9042304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9232020).

9042304 is an abundant number, since it is smaller than the sum of its proper divisors (9421736).

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

9042304 is a wasteful number, since it uses less digits than its factorization.

9042304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1778 (or 1766 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 9042304 is about 3007.0424007652. The cubic root of 9042304 is about 208.3337836079. Note that the first 3 decimals are identical.

The spelling of 9042304 in words is "nine million, forty-two thousand, three hundred four".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 328 656 1312 1723 2624 3446 5248 6892 13784 27568 55136 70643 110272 141286 220544 282572 565144 1130288 2260576 4521152 9042304