Search a number
-
+
3200002312 = 2313300110253
BaseRepresentation
bin1011111010111100…
…0010100100001000
322021000100221221011
42332233002210020
523023200033222
61245311053304
7142204366543
oct27657024410
98230327834
103200002312
1113a2355111
12753811234
133bcc6c8c0
14224dc985a
1513adedc77
hexbebc2908

3200002312 has 32 divisors (see below), whose sum is σ = 6464326680. Its totient is φ = 1476288000.

The previous prime is 3200002307. The next prime is 3200002331. The reversal of 3200002312 is 2132000023.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1597281156 + 1602721156 = 39966^2 + 40034^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 3200002292 and 3200002301.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 306978 + ... + 317230.

Almost surely, 23200002312 is an apocalyptic number.

It is an amenable number.

3200002312 is an abundant number, since it is smaller than the sum of its proper divisors (3264324368).

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

3200002312 is a wasteful number, since it uses less digits than its factorization.

3200002312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13273 (or 13269 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 3200002312 is about 56568.5629303061. The cubic root of 3200002312 is about 1473.6129543511.

Adding to 3200002312 its reverse (2132000023), we get a palindrome (5332002335).

It can be divided in two parts, 320000 and 2312, that multiplied together give a square (739840000 = 272002).

The spelling of 3200002312 in words is "three billion, two hundred million, two thousand, three hundred twelve".

Divisors: 1 2 4 8 13 26 52 104 3001 6002 10253 12004 20506 24008 39013 41012 78026 82024 133289 156052 266578 312104 533156 1066312 30769253 61538506 123077012 246154024 400000289 800000578 1600001156 3200002312