Search a number
-
+
304428870 = 23254779911
BaseRepresentation
bin10010001001010…
…011011101000110
3210012211120220100
4102021103131012
51110413210440
650112544530
710354413504
oct2211233506
9705746810
10304428870
11146929a09
1285b52146
134b0bb935
142c607674
151bad6230
hex12253746

304428870 has 96 divisors (see below), whose sum is σ = 819486720. Its totient is φ = 78361920.

The previous prime is 304428853. The next prime is 304428871. The reversal of 304428870 is 78824403.

304428870 is a `hidden beast` number, since 304 + 4 + 288 + 70 = 666.

304428870 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (304428871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 333715 + ... + 334625.

It is an arithmetic number, because the mean of its divisors is an integer number (8536320).

Almost surely, 2304428870 is an apocalyptic number.

304428870 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 304428870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409743360).

304428870 is an abundant number, since it is smaller than the sum of its proper divisors (515057850).

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

304428870 is a wasteful number, since it uses less digits than its factorization.

304428870 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1050 (or 1047 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 304428870 is about 17447.8901303281. The cubic root of 304428870 is about 672.7111280463.

The spelling of 304428870 in words is "three hundred four million, four hundred twenty-eight thousand, eight hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 47 79 90 94 141 158 235 237 282 395 423 470 474 705 711 790 846 911 1185 1410 1422 1822 2115 2370 2733 3555 3713 4230 4555 5466 7110 7426 8199 9110 11139 13665 16398 18565 22278 27330 33417 37130 40995 42817 55695 66834 71969 81990 85634 111390 128451 143938 167085 214085 215907 256902 334170 359845 385353 428170 431814 642255 647721 719690 770706 1079535 1284510 1295442 1926765 2159070 3238605 3382543 3853530 6477210 6765086 10147629 16912715 20295258 30442887 33825430 50738145 60885774 101476290 152214435 304428870