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306871201 = 71331181601
BaseRepresentation
bin10010010010100…
…111101110100001
3210101102200011001
4102102213232201
51112024334301
650241152001
710414235140
oct2222475641
9711380131
10306871201
1114824796a
128692b601
134b7654c0
142ca81757
151be19c01
hex124a7ba1

306871201 has 32 divisors (see below), whose sum is σ = 392677376. Its totient is φ = 233280000.

The previous prime is 306871193. The next prime is 306871211. The reversal of 306871201 is 102178603.

It is a 2-Lehmer number, since φ(306871201) divides (306871201-1)2.

It is a cyclic number.

It is a Carmichael number.

It is not a de Polignac number, because 306871201 - 23 = 306871193 is a prime.

It is a deceptive number, since it divides R306871200.

It is a self number, because there is not a number n which added to its sum of digits gives 306871201.

It is not an unprimeable number, because it can be changed into a prime (306871211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 510301 + ... + 510901.

It is an arithmetic number, because the mean of its divisors is an integer number (12271168).

It is a Poulet number, since it divides 2306871200-1.

Almost surely, 2306871201 is an apocalyptic number.

306871201 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

306871201 is a deficient number, since it is larger than the sum of its proper divisors (85806175).

306871201 is a wasteful number, since it uses less digits than its factorization.

306871201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 833.

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 306871201 is about 17517.7396087509. The cubic root of 306871201 is about 674.5053172977.

The spelling of 306871201 in words is "three hundred six million, eight hundred seventy-one thousand, two hundred one".

Divisors: 1 7 13 31 91 181 217 403 601 1267 2353 2821 4207 5611 7813 16471 18631 39277 54691 72943 108781 130417 242203 510601 761467 1414153 1695421 3372211 9899071 23605477 43838743 306871201