Search a number
-
+
3230351120 = 245198923879
BaseRepresentation
bin1100000010001011…
…0011111100010000
322100010110211200002
43000202303330100
523103432213440
61252313345132
7143023350203
oct30042637420
98303424602
103230351120
1114084a3677
12761a081a8
133c6337589
1422904993a
1513d8e6115
hexc08b3f10

3230351120 has 80 divisors (see below), whose sum is σ = 7995024000. Its totient is φ = 1210328064.

The previous prime is 3230351107. The next prime is 3230351123. The reversal of 3230351120 is 211530323.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 3230351092 and 3230351101.

It is not an unprimeable number, because it can be changed into a prime (3230351123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123341 + ... + 147219.

It is an arithmetic number, because the mean of its divisors is an integer number (99937800).

Almost surely, 23230351120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3230351120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3997512000).

3230351120 is an abundant number, since it is smaller than the sum of its proper divisors (4764672880).

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

3230351120 is a wasteful number, since it uses less digits than its factorization.

3230351120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24000 (or 23994 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

The square root of 3230351120 is about 56836.1779151273. The cubic root of 3230351120 is about 1478.2568837594.

Adding to 3230351120 its reverse (211530323), we get a palindrome (3441881443).

The spelling of 3230351120 in words is "three billion, two hundred thirty million, three hundred fifty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 89 95 152 178 190 304 356 380 445 712 760 890 1424 1520 1691 1780 3382 3560 6764 7120 8455 13528 16910 23879 27056 33820 47758 67640 95516 119395 135280 191032 238790 382064 453701 477580 907402 955160 1814804 1910320 2125231 2268505 3629608 4250462 4537010 7259216 8500924 9074020 10626155 17001848 18148040 21252310 34003696 36296080 40379389 42504620 80758778 85009240 161517556 170018480 201896945 323035112 403793890 646070224 807587780 1615175560 3230351120