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2304320 = 26519379
BaseRepresentation
bin1000110010100101000000
311100001221012
420302211000
51042214240
6121220052
725405064
oct10624500
94301835
102304320
1113342a7
12931628
13628b05
1443daa4
15307b65
hex232940

2304320 has 56 divisors (see below), whose sum is σ = 5791200. Its totient is φ = 870912.

The previous prime is 2304319. The next prime is 2304343. The reversal of 2304320 is 234032.

It is a junction number, because it is equal to n+sod(n) for n = 2304295 and 2304304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5891 + ... + 6269.

22304320 is an apocalyptic number.

2304320 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 2304320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2895600).

2304320 is an abundant number, since it is smaller than the sum of its proper divisors (3486880).

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

2304320 is a wasteful number, since it uses less digits than its factorization.

2304320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 2304320 is about 1517.9986824764. The cubic root of 2304320 is about 132.0832043528.

Adding to 2304320 its reverse (234032), we get a palindrome (2538352).

The spelling of 2304320 in words is "two million, three hundred four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 152 160 190 304 320 379 380 608 758 760 1216 1516 1520 1895 3032 3040 3790 6064 6080 7201 7580 12128 14402 15160 24256 28804 30320 36005 57608 60640 72010 115216 121280 144020 230432 288040 460864 576080 1152160 2304320