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30904300 = 2252731753
BaseRepresentation
bin111010111100…
…0111111101100
32011011002201201
41311320333230
530402414200
63022215244
7523453000
oct165707754
964132651
1030904300
1116498949
12a424524
13653078b
144166700
152aa6c6a
hex1d78fec

30904300 has 144 divisors (see below), whose sum is σ = 84369600. Its totient is φ = 9784320.

The previous prime is 30904267. The next prime is 30904301. The reversal of 30904300 is 340903.

It is not an unprimeable number, because it can be changed into a prime (30904301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 583074 + ... + 583126.

It is an arithmetic number, because the mean of its divisors is an integer number (585900).

Almost surely, 230904300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30904300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42184800).

30904300 is an abundant number, since it is smaller than the sum of its proper divisors (53465300).

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

30904300 is a wasteful number, since it uses less digits than its factorization.

30904300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

The square root of 30904300 is about 5559.1636061552. The cubic root of 30904300 is about 313.8144738217.

The spelling of 30904300 in words is "thirty million, nine hundred four thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 17 20 25 28 34 35 49 50 53 68 70 85 98 100 106 119 140 170 175 196 212 238 245 265 340 343 350 371 425 476 490 530 595 686 700 742 833 850 901 980 1060 1190 1225 1325 1372 1484 1666 1700 1715 1802 1855 2380 2450 2597 2650 2975 3332 3430 3604 3710 4165 4505 4900 5194 5300 5831 5950 6307 6860 7420 8330 8575 9010 9275 10388 11662 11900 12614 12985 16660 17150 18020 18179 18550 20825 22525 23324 25228 25970 29155 31535 34300 36358 37100 41650 44149 45050 51940 58310 63070 64925 72716 83300 88298 90100 90895 116620 126140 129850 145775 157675 176596 181790 220745 259700 291550 309043 315350 363580 441490 454475 583100 618086 630700 882980 908950 1103725 1236172 1545215 1817900 2207450 3090430 4414900 6180860 7726075 15452150 30904300