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904104 = 233229433
BaseRepresentation
bin11011100101110101000
31200221012100
43130232220
5212412404
631213400
710453605
oct3345650
91627170
10904104
115682a3
12377260
13258696
141976ac
1512cd39
hexdcba8

904104 has 48 divisors (see below), whose sum is σ = 2538900. Its totient is φ = 290304.

The previous prime is 904103. The next prime is 904117. The reversal of 904104 is 401409.

It can be written as a sum of positive squares in 2 ways, for example, as 864900 + 39204 = 930^2 + 198^2 .

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

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (904103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1872 + ... + 2304.

2904104 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 904104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1269450).

904104 is an abundant number, since it is smaller than the sum of its proper divisors (1634796).

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

904104 is a wasteful number, since it uses less digits than its factorization.

904104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 904104 is about 950.8438357585. The cubic root of 904104 is about 96.6954703437.

The spelling of 904104 in words is "nine hundred four thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 174 232 261 348 433 522 696 866 1044 1299 1732 2088 2598 3464 3897 5196 7794 10392 12557 15588 25114 31176 37671 50228 75342 100456 113013 150684 226026 301368 452052 904104