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320324141340 = 2232572311053283
BaseRepresentation
bin1001010100101001100…
…11101000000100011100
31010121210221101101022200
410222110303220010130
520222010440010330
6403053242011500
732066634163620
oct4522463500434
91117727341280
10320324141340
11113937699525
12520b7aa6b90
132428b707748
141170a4c3180
1584ebb06a60
hex4a94ce811c

320324141340 has 144 divisors (see below), whose sum is σ = 1158737868288. Its totient is φ = 70033594752.

The previous prime is 320324141323. The next prime is 320324141359. The reversal of 320324141340 is 43141423023.

320324141340 is a `hidden beast` number, since 3 + 2 + 0 + 3 + 241 + 413 + 4 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5497662 + ... + 5555621.

It is an arithmetic number, because the mean of its divisors is an integer number (8046790752).

Almost surely, 2320324141340 is an apocalyptic number.

320324141340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

320324141340 is an abundant number, since it is smaller than the sum of its proper divisors (838413726948).

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

320324141340 is a wasteful number, since it uses less digits than its factorization.

320324141340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11053328 (or 11053323 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 320324141340 its reverse (43141423023), we get a palindrome (363465564363).

The spelling of 320324141340 in words is "three hundred twenty billion, three hundred twenty-four million, one hundred forty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 23 28 30 35 36 42 45 46 60 63 69 70 84 90 92 105 115 126 138 140 161 180 207 210 230 252 276 315 322 345 414 420 460 483 630 644 690 805 828 966 1035 1260 1380 1449 1610 1932 2070 2415 2898 3220 4140 4830 5796 7245 9660 14490 28980 11053283 22106566 33159849 44213132 55266415 66319698 77372981 99479547 110532830 132639396 154745962 165799245 198959094 221065660 232118943 254225509 309491924 331598490 386864905 397918188 464237886 497397735 508451018 663196980 696356829 762676527 773729810 928475772 994795470 1016902036 1160594715 1271127545 1392713658 1525353054 1547459620 1779578563 1989590940 2288029581 2321189430 2542255090 2785427316 3050706108 3481784145 3559157126 3813382635 4576059162 4642378860 5084510180 5338735689 6963568290 7118314252 7626765270 8897892815 9152118324 10677471378 11440147905 13927136580 15253530540 16016207067 17795785630 21354942756 22880295810 26693678445 32032414134 35591571260 45760591620 53387356890 64064828268 80081035335 106774713780 160162070670 320324141340