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3180393 = 323131129
BaseRepresentation
bin1100001000011101101001
312222120200100
430020131221
51303233033
6152100013
736014166
oct14103551
95876610
103180393
111882527
121094609
138747b8
145cb06d
1542c513
hex308769

3180393 has 12 divisors (see below), whose sum is σ = 4612660. Its totient is φ = 2111616.

The previous prime is 3180337. The next prime is 3180407. The reversal of 3180393 is 3930813.

It can be written as a sum of positive squares in 2 ways, for example, as 110889 + 3069504 = 333^2 + 1752^2 .

It is not a de Polignac number, because 3180393 - 213 = 3172201 is a prime.

It is a super-2 number, since 2×31803932 = 20229799268898, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3180313) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2253 + ... + 3381.

Almost surely, 23180393 is an apocalyptic number.

It is an amenable number.

3180393 is a deficient number, since it is larger than the sum of its proper divisors (1432267).

3180393 is a wasteful number, since it uses less digits than its factorization.

3180393 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1448 (or 1445 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 3180393 is about 1783.3656383367. The cubic root of 3180393 is about 147.0596731214.

The spelling of 3180393 in words is "three million, one hundred eighty thousand, three hundred ninety-three".

Divisors: 1 3 9 313 939 1129 2817 3387 10161 353377 1060131 3180393