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2904320 = 2852269
BaseRepresentation
bin1011000101000100000000
312110112222102
423011010000
51220414240
6142125532
733454256
oct13050400
95415872
102904320
111704071
12b808a8
137a8c43
145585d6
153c5815
hex2c5100

2904320 has 36 divisors (see below), whose sum is σ = 6959820. Its totient is φ = 1161216.

The previous prime is 2904313. The next prime is 2904323. The reversal of 2904320 is 234092.

2904320 is nontrivially palindromic in base 11.

It can be written as a sum of positive squares in 2 ways, for example, as 495616 + 2408704 = 704^2 + 1552^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2904292 and 2904301.

It is not an unprimeable number, because it can be changed into a prime (2904323) 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, 146 + ... + 2414.

22904320 is an apocalyptic number.

2904320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2904320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3479910).

2904320 is an abundant number, since it is smaller than the sum of its proper divisors (4055500).

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

2904320 is an equidigital number, since it uses as much as digits as its factorization.

2904320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2290 (or 2276 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 2904320 is about 1704.2065602503. The cubic root of 2904320 is about 142.6750900006.

The spelling of 2904320 in words is "two million, nine hundred four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1280 2269 4538 9076 11345 18152 22690 36304 45380 72608 90760 145216 181520 290432 363040 580864 726080 1452160 2904320