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23304320 = 275132801
BaseRepresentation
bin101100011100…
…1100010000000
31121211222111222
41120321202000
521431214240
62151254212
7402040424
oct130714200
947758458
1023304320
1112177976
12797a368
134a9c450
143148b84
1520a4eb5
hex1639880

23304320 has 64 divisors (see below), whose sum is σ = 60018840. Its totient is φ = 8601600.

The previous prime is 23304319. The next prime is 23304353. The reversal of 23304320 is 2340332.

It can be written as a sum of positive squares in 4 ways, for example, as 14684224 + 8620096 = 3832^2 + 2936^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6920 + ... + 9720.

Almost surely, 223304320 is an apocalyptic number.

23304320 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 23304320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30009420).

23304320 is an abundant number, since it is smaller than the sum of its proper divisors (36714520).

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

23304320 is a wasteful number, since it uses less digits than its factorization.

23304320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2833 (or 2821 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 17.

The square root of 23304320 is about 4827.4548159460. The cubic root of 23304320 is about 285.6354754061.

Adding to 23304320 its reverse (2340332), we get a palindrome (25644652).

The spelling of 23304320 in words is "twenty-three million, three hundred four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 260 320 416 520 640 832 1040 1664 2080 2801 4160 5602 8320 11204 14005 22408 28010 36413 44816 56020 72826 89632 112040 145652 179264 182065 224080 291304 358528 364130 448160 582608 728260 896320 1165216 1456520 1792640 2330432 2913040 4660864 5826080 11652160 23304320