Search a number
-
+
3300132300 = 2235211000441
BaseRepresentation
bin1100010010110100…
…0000010111001100
322111222210002110020
43010231000113030
523224313213200
61303245142140
7144531442653
oct30455002714
98458702406
103300132300
111443925273
1278125a950
1340792a60a
1423441219a
15144acbea0
hexc4b405cc

3300132300 has 36 divisors (see below), whose sum is σ = 9548383656. Its totient is φ = 880035200.

The previous prime is 3300132281. The next prime is 3300132313. The reversal of 3300132300 is 32310033.

It is a super-4 number, since 4×33001323004 (a number of 39 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3300132300.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 5499921 + ... + 5500520.

Almost surely, 23300132300 is an apocalyptic number.

3300132300 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3300132300 is an abundant number, since it is smaller than the sum of its proper divisors (6248251356).

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

3300132300 is a wasteful number, since it uses less digits than its factorization.

3300132300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11000458 (or 11000451 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 15.

The square root of 3300132300 is about 57446.7779775333. Note that the first 3 decimals coincide. The cubic root of 3300132300 is about 1488.8254485440.

Adding to 3300132300 its reverse (32310033), we get a palindrome (3332442333).

The spelling of 3300132300 in words is "three billion, three hundred million, one hundred thirty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 11000441 22000882 33001323 44001764 55002205 66002646 110004410 132005292 165006615 220008820 275011025 330013230 550022050 660026460 825033075 1100044100 1650066150 3300132300