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3230820 = 2233531193
BaseRepresentation
bin1100010100110001100100
320002010212000
430110301210
51311341240
6153125300
736314205
oct14246144
96063760
103230820
1119073aa
1210b9830
13891738
146015ac
1543c430
hex314c64

3230820 has 96 divisors (see below), whose sum is σ = 10429440. Its totient is φ = 829440.

The previous prime is 3230813. The next prime is 3230831. The reversal of 3230820 is 280323.

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 = 3230793 and 3230802.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16644 + ... + 16836.

It is an arithmetic number, because the mean of its divisors is an integer number (108640).

Almost surely, 23230820 is an apocalyptic number.

3230820 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 3230820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5214720).

3230820 is an abundant number, since it is smaller than the sum of its proper divisors (7198620).

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

3230820 is a wasteful number, since it uses less digits than its factorization.

3230820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3230820 is about 1797.4481911866. The cubic root of 3230820 is about 147.8328402461.

The spelling of 3230820 in words is "three million, two hundred thirty thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 31 36 45 54 60 62 90 93 108 124 135 155 180 186 193 270 279 310 372 386 465 540 558 579 620 772 837 930 965 1116 1158 1395 1674 1737 1860 1930 2316 2790 2895 3348 3474 3860 4185 5211 5580 5790 5983 6948 8370 8685 10422 11580 11966 16740 17370 17949 20844 23932 26055 29915 34740 35898 52110 53847 59830 71796 89745 104220 107694 119660 161541 179490 215388 269235 323082 358980 538470 646164 807705 1076940 1615410 3230820