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3030432120 = 233259079281
BaseRepresentation
bin1011010010100000…
…1011100101111000
321211012021220100200
42310220023211320
522201242311440
61220412402200
7135045151032
oct26450134570
97735256320
103030432120
111315666561
12706a76360
13393aab101
1420a688c52
1512b0a5c30
hexb4a0b978

3030432120 has 96 divisors (see below), whose sum is σ = 9860825520. Its totient is φ = 807137280.

The previous prime is 3030432103. The next prime is 3030432133. The reversal of 3030432120 is 212340303.

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 = 3030432093 and 3030432102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 321880 + ... + 331160.

Almost surely, 23030432120 is an apocalyptic number.

3030432120 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 3030432120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4930412760).

3030432120 is an abundant number, since it is smaller than the sum of its proper divisors (6830393400).

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

3030432120 is a wasteful number, since it uses less digits than its factorization.

3030432120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10205 (or 10198 counting only the distinct ones).

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

The square root of 3030432120 is about 55049.3607592313. The cubic root of 3030432120 is about 1447.1099184231.

Adding to 3030432120 its reverse (212340303), we get a palindrome (3242772423).

The spelling of 3030432120 in words is "three billion, thirty million, four hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 907 1814 2721 3628 4535 5442 7256 8163 9070 9281 10884 13605 16326 18140 18562 21768 27210 27843 32652 36280 37124 40815 46405 54420 55686 65304 74248 81630 83529 92810 108840 111372 139215 163260 167058 185620 222744 278430 326520 334116 371240 417645 556860 668232 835290 1113720 1670580 3341160 8417867 16835734 25253601 33671468 42089335 50507202 67342936 75760803 84178670 101014404 126268005 151521606 168357340 202028808 252536010 303043212 336714680 378804015 505072020 606086424 757608030 1010144040 1515216060 3030432120