Search a number
-
+
23384320 = 28518269
BaseRepresentation
bin101100100110…
…1000100000000
31122000001020221
41121031010000
521441244240
62153112424
7402522601
oct131150400
948001227
1023384320
1112221a93
1279b8714
134ac999b
143169da8
1520bda4a
hex164d100

23384320 has 36 divisors (see below), whose sum is σ = 56015820. Its totient is φ = 9353216.

The previous prime is 23384311. The next prime is 23384327. The reversal of 23384320 is 2348332.

It can be written as a sum of positive squares in 2 ways, for example, as 12730624 + 10653696 = 3568^2 + 3264^2 .

It is not an unprimeable number, because it can be changed into a prime (23384327) 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, 7855 + ... + 10414.

It is an arithmetic number, because the mean of its divisors is an integer number (1555995).

Almost surely, 223384320 is an apocalyptic number.

23384320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23384320 is an abundant number, since it is smaller than the sum of its proper divisors (32631500).

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

23384320 is an equidigital number, since it uses as much as digits as its factorization.

23384320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18290 (or 18276 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

The square root of 23384320 is about 4835.7336568508. The cubic root of 23384320 is about 285.9619490675.

The spelling of 23384320 in words is "twenty-three million, three hundred eighty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1280 18269 36538 73076 91345 146152 182690 292304 365380 584608 730760 1169216 1461520 2338432 2923040 4676864 5846080 11692160 23384320