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324420120 = 233352811069
BaseRepresentation
bin10011010101100…
…100001000011000
3211121110020202000
4103111210020120
51131022420440
652105241000
711016345153
oct2325441030
9747406660
10324420120
11157143702
1290793160
135229b08b
143112cc9a
151d734730
hex13564218

324420120 has 128 divisors (see below), whose sum is σ = 1086264000. Its totient is φ = 86123520.

The previous prime is 324420119. The next prime is 324420139. The reversal of 324420120 is 21024423.

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 = 324420093 and 324420102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 302946 + ... + 304014.

Almost surely, 2324420120 is an apocalyptic number.

324420120 is a gapful number since it is divisible by the number (30) 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 324420120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543132000).

324420120 is an abundant number, since it is smaller than the sum of its proper divisors (761843880).

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

324420120 is a wasteful number, since it uses less digits than its factorization.

324420120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1370 (or 1360 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 324420120 is about 18011.6662194257. Note that the first 3 decimals coincide. The cubic root of 324420120 is about 687.1252798740.

Adding to 324420120 its reverse (21024423), we get a palindrome (345444543).

The spelling of 324420120 in words is "three hundred twenty-four million, four hundred twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 281 360 540 562 843 1069 1080 1124 1405 1686 2138 2248 2529 2810 3207 3372 4215 4276 5058 5345 5620 6414 6744 7587 8430 8552 9621 10116 10690 11240 12645 12828 15174 16035 16860 19242 20232 21380 25290 25656 28863 30348 32070 33720 37935 38484 42760 48105 50580 57726 60696 64140 75870 76968 96210 101160 115452 128280 144315 151740 192420 230904 288630 300389 303480 384840 577260 600778 901167 1154520 1201556 1501945 1802334 2403112 2703501 3003890 3604668 4505835 5407002 6007780 7209336 8110503 9011670 10814004 12015560 13517505 16221006 18023340 21628008 27035010 32442012 36046680 40552515 54070020 64884024 81105030 108140040 162210060 324420120