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232312320 = 293353361
BaseRepresentation
bin11011101100011…
…00111000000000
3121012010200121000
431312030320000
5433432443240
635015132000
75520423252
oct1566147000
9535120530
10232312320
1110a152759
1265974000
133918b916
1422bd3cd2
15155dd430
hexdd8ce00

232312320 has 160 divisors (see below), whose sum is σ = 825438240. Its totient is φ = 61931520.

The previous prime is 232312319. The next prime is 232312331. The reversal of 232312320 is 23213232.

It is a happy number.

232312320 is a `hidden beast` number, since 2 + 32 + 312 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (160).

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 = 232312293 and 232312302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67440 + ... + 70800.

It is an arithmetic number, because the mean of its divisors is an integer number (5158989).

Almost surely, 2232312320 is an apocalyptic number.

232312320 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 232312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412719120).

232312320 is an abundant number, since it is smaller than the sum of its proper divisors (593125920).

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

232312320 is an equidigital number, since it uses as much as digits as its factorization.

232312320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3393 (or 3371 counting only the distinct ones).

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

The square root of 232312320 is about 15241.7951698611. The cubic root of 232312320 is about 614.7389731056.

Adding to 232312320 its reverse (23213232), we get a palindrome (255525552).

The spelling of 232312320 in words is "two hundred thirty-two million, three hundred twelve thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 256 270 288 320 360 384 432 480 512 540 576 640 720 768 864 960 1080 1152 1280 1440 1536 1728 1920 2160 2304 2560 2880 3361 3456 3840 4320 4608 5760 6722 6912 7680 8640 10083 11520 13444 13824 16805 17280 20166 23040 26888 30249 33610 34560 40332 50415 53776 60498 67220 69120 80664 90747 100830 107552 120996 134440 151245 161328 181494 201660 215104 241992 268880 302490 322656 362988 403320 430208 453735 483984 537760 604980 645312 725976 806640 860416 907470 967968 1075520 1209960 1290624 1451952 1613280 1720832 1814940 1935936 2151040 2419920 2581248 2903904 3226560 3629880 3871872 4302080 4839840 5162496 5807808 6453120 7259760 7743744 8604160 9679680 11615616 12906240 14519520 15487488 19359360 23231232 25812480 29039040 38718720 46462464 58078080 77437440 116156160 232312320