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2304031320 = 2332510096343
BaseRepresentation
bin1000100101010100…
…1011101001011000
312221120102220210100
42021111023221120
514204313000240
61020343215400
7111044641323
oct21125135130
95846386710
102304031320
11a82624918
12543747560
132a9457056
1417bddb7ba
15d741ae30
hex8954ba58

2304031320 has 96 divisors (see below), whose sum is σ = 7496704800. Its totient is φ = 613702656.

The previous prime is 2304031319. The next prime is 2304031351. The reversal of 2304031320 is 231304032.

2304031320 is a `hidden beast` number, since 230 + 403 + 1 + 32 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2304031293 and 2304031302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 360069 + ... + 366411.

It is an arithmetic number, because the mean of its divisors is an integer number (78090675).

Almost surely, 22304031320 is an apocalyptic number.

2304031320 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 2304031320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3748352400).

2304031320 is an abundant number, since it is smaller than the sum of its proper divisors (5192673480).

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

2304031320 is a wasteful number, since it uses less digits than its factorization.

2304031320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7369 (or 7362 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 2304031320 is about 48000.3262488913. The cubic root of 2304031320 is about 1320.7768842739.

Adding to 2304031320 its reverse (231304032), we get a palindrome (2535335352).

The spelling of 2304031320 in words is "two billion, three hundred four million, thirty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 1009 2018 3027 4036 5045 6054 6343 8072 9081 10090 12108 12686 15135 18162 19029 20180 24216 25372 30270 31715 36324 38058 40360 45405 50744 57087 60540 63430 72648 76116 90810 95145 114174 121080 126860 152232 181620 190290 228348 253720 285435 363240 380580 456696 570870 761160 1141740 2283480 6400087 12800174 19200261 25600348 32000435 38400522 51200696 57600783 64000870 76801044 96001305 115201566 128001740 153602088 192002610 230403132 256003480 288003915 384005220 460806264 576007830 768010440 1152015660 2304031320