Search a number
-
+
3300414132 = 2233164113841
BaseRepresentation
bin1100010010111000…
…0101001010110100
322112000022102001110
43010232011022310
523224401223012
61303255155020
7144534025431
oct30456051264
98460272043
103300414132
111443aa7a94
12781375a70
134079c8992
14234486b88
15144b3573c
hexc4b852b4

3300414132 has 48 divisors (see below), whose sum is σ = 7962361344. Its totient is φ = 1062912000.

The previous prime is 3300414121. The next prime is 3300414137. The reversal of 3300414132 is 2314140033.

It is a junction number, because it is equal to n+sod(n) for n = 3300414099 and 3300414108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3300414137) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 231532 + ... + 245372.

It is an arithmetic number, because the mean of its divisors is an integer number (165882528).

Almost surely, 23300414132 is an apocalyptic number.

It is an amenable number.

3300414132 is an abundant number, since it is smaller than the sum of its proper divisors (4661947212).

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

3300414132 is a wasteful number, since it uses less digits than its factorization.

3300414132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14520 (or 14518 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 3300414132 is about 57449.2309086902. The cubic root of 3300414132 is about 1488.8678293408.

Adding to 3300414132 its reverse (2314140033), we get a palindrome (5614554165).

The spelling of 3300414132 in words is "three billion, three hundred million, four hundred fourteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 31 62 93 124 186 372 641 1282 1923 2564 3846 7692 13841 19871 27682 39742 41523 55364 59613 79484 83046 119226 166092 238452 429071 858142 1287213 1716284 2574426 5148852 8872081 17744162 26616243 35488324 53232486 106464972 275034511 550069022 825103533 1100138044 1650207066 3300414132