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3302915841 = 32191572
BaseRepresentation
bin1100010011011110…
…0111111100000001
322112012000111202100
43010313213330001
523231021301331
61303424541013
7144564215151
oct30467477401
98465014670
103302915841
111445456615
12782181769
13408393594
14234938761
15144e7bae6
hexc4de7f01

3302915841 has 9 divisors (see below), whose sum is σ = 4771127491. Its totient is φ = 2201828952.

The previous prime is 3302915831. The next prime is 3302915849. The reversal of 3302915841 is 1485192033.

The square root of 3302915841 is 57471.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 98903025 + 3204012816 = 9945^2 + 56604^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 3302915841 - 25 = 3302915809 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3302915796 and 3302915805.

It is not an unprimeable number, because it can be changed into a prime (3302915849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 162835 + ... + 181991.

Almost surely, 23302915841 is an apocalyptic number.

3302915841 is the 57471-st square number.

3302915841 is the 28736-th centered octagonal number.

It is an amenable number.

3302915841 is a deficient number, since it is larger than the sum of its proper divisors (1468211650).

3302915841 is an frugal number, since it uses more digits than its factorization.

3302915841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38320 (or 19160 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The cubic root of 3302915841 is about 1489.2439208641.

Multiplying 3302915841 by its sum of digits (36), we get a square (118904970276 = 3448262).

The spelling of 3302915841 in words is "three billion, three hundred two million, nine hundred fifteen thousand, eight hundred forty-one".

Divisors: 1 3 9 19157 57471 172413 366990649 1100971947 3302915841