Search a number
-
+
2433230320 = 245239127261
BaseRepresentation
bin1001000100001000…
…0010010111110000
320021120112220111111
42101002002113300
514440401332240
61041240323104
7114204054643
oct22102022760
96246486444
102433230320
111039549a54
1257aa73494
132ca152071
1419122da5a
15e393c1ea
hex910825f0

2433230320 has 40 divisors (see below), whose sum is σ = 5680975680. Its totient is φ = 969212160.

The previous prime is 2433230309. The next prime is 2433230339. The reversal of 2433230320 is 230323342.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 2433230291 and 2433230300.

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 7 ways as a sum of consecutive naturals, for example, 44511 + ... + 82750.

It is an arithmetic number, because the mean of its divisors is an integer number (142024392).

Almost surely, 22433230320 is an apocalyptic number.

2433230320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2433230320 is an abundant number, since it is smaller than the sum of its proper divisors (3247745360).

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

2433230320 is a wasteful number, since it uses less digits than its factorization.

2433230320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127513 (or 127507 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 22.

The square root of 2433230320 is about 49327.7844627143. The cubic root of 2433230320 is about 1345.0168956294.

Adding to 2433230320 its reverse (230323342), we get a palindrome (2663553662).

The spelling of 2433230320 in words is "two billion, four hundred thirty-three million, two hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 239 478 956 1195 1912 2390 3824 4780 9560 19120 127261 254522 509044 636305 1018088 1272610 2036176 2545220 5090440 10180880 30415379 60830758 121661516 152076895 243323032 304153790 486646064 608307580 1216615160 2433230320