Search a number
-
+
299431920 = 243561113181
BaseRepresentation
bin10001110110001…
…111011111110000
3202212102201101010
4101312033133300
51103123310140
645413510520
710264062234
oct2166173760
9685381333
10299431920
111440266a7
1284342440
134a05c368
142baa65c4
151b44a880
hex11d8f7f0

299431920 has 160 divisors (see below), whose sum is σ = 957063744. Its totient is φ = 77414400.

The previous prime is 299431907. The next prime is 299431939. The reversal of 299431920 is 29134992.

299431920 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 an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1654230 + ... + 1654410.

Almost surely, 2299431920 is an apocalyptic number.

299431920 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 299431920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478531872).

299431920 is an abundant number, since it is smaller than the sum of its proper divisors (657631824).

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

299431920 is a wasteful number, since it uses less digits than its factorization.

299431920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 39.

The square root of 299431920 is about 17304.1012479701. The cubic root of 299431920 is about 669.0101370121.

The spelling of 299431920 in words is "two hundred ninety-nine million, four hundred thirty-one thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 61 80 113 120 122 181 183 226 240 244 305 339 362 366 452 488 543 565 610 678 724 732 904 905 915 976 1086 1130 1220 1356 1448 1464 1695 1808 1810 1830 2172 2260 2440 2712 2715 2896 2928 3390 3620 3660 4344 4520 4880 5424 5430 6780 6893 7240 7320 8688 9040 10860 11041 13560 13786 14480 14640 20453 20679 21720 22082 27120 27572 33123 34465 40906 41358 43440 44164 55144 55205 61359 66246 68930 81812 82716 88328 102265 103395 110288 110410 122718 132492 137860 163624 165432 165615 176656 204530 206790 220820 245436 264984 275720 306795 327248 330864 331230 409060 413580 441640 490872 529968 551440 613590 662460 818120 827160 883280 981744 1227180 1247633 1324920 1636240 1654320 2454360 2495266 2649840 3742899 4908720 4990532 6238165 7485798 9981064 12476330 14971596 18714495 19962128 24952660 29943192 37428990 49905320 59886384 74857980 99810640 149715960 299431920