Search a number
-
+
297085320 = 23345713099
BaseRepresentation
bin10001101101010…
…010100110001000
3202201000111110000
4101231102212020
51102023212240
645251323000
710235116650
oct2155224610
9681014400
10297085320
11142773664
12835b0460
134971a23c
142b655360
151b135430
hex11b52988

297085320 has 160 divisors (see below), whose sum is σ = 1141272000. Its totient is φ = 67900032.

The previous prime is 297085301. The next prime is 297085331. The reversal of 297085320 is 23580792.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 16131 + ... + 29229.

It is an arithmetic number, because the mean of its divisors is an integer number (7132950).

Almost surely, 2297085320 is an apocalyptic number.

297085320 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 297085320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570636000).

297085320 is an abundant number, since it is smaller than the sum of its proper divisors (844186680).

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

297085320 is a wasteful number, since it uses less digits than its factorization.

297085320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13129 (or 13116 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 297085320 is about 17236.1631461297. The cubic root of 297085320 is about 667.2579099365.

The spelling of 297085320 in words is "two hundred ninety-seven million, eighty-five thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 81 84 90 105 108 120 126 135 140 162 168 180 189 210 216 252 270 280 315 324 360 378 405 420 504 540 567 630 648 756 810 840 945 1080 1134 1260 1512 1620 1890 2268 2520 2835 3240 3780 4536 5670 7560 11340 13099 22680 26198 39297 52396 65495 78594 91693 104792 117891 130990 157188 183386 196485 235782 261980 275079 314376 353673 366772 392970 458465 471564 523960 550158 589455 707346 733544 785940 825237 916930 943128 1061019 1100316 1178910 1375395 1414692 1571880 1650474 1768365 1833860 2122038 2200632 2357820 2475711 2750790 2829384 3300948 3536730 3667720 4126185 4244076 4715640 4951422 5305095 5501580 6601896 7073460 7427133 8252370 8488152 9902844 10610190 11003160 12378555 14146920 14854266 16504740 19805688 21220380 24757110 29708532 33009480 37135665 42440760 49514220 59417064 74271330 99028440 148542660 297085320