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401677 = 4197101
BaseRepresentation
bin1100010000100001101
3202101222221
41202010031
5100323202
612335341
73262033
oct1420415
9671887
10401677
11254871
12174551
13110aa3
14a6553
157e037
hex6210d

401677 has 8 divisors (see below), whose sum is σ = 419832. Its totient is φ = 384000.

The previous prime is 401671. The next prime is 401689. The reversal of 401677 is 776104.

It can be written as a sum of positive squares in 4 ways, for example, as 54756 + 346921 = 234^2 + 589^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 401677 - 23 = 401669 is a prime.

It is a super-2 number, since 2×4016772 = 322688824658, which contains 22 as substring.

It is a Duffinian number.

401677 is a lucky number.

It is a nialpdrome in base 14.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 401677.

It is not an unprimeable number, because it can be changed into a prime (401671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3927 + ... + 4027.

It is an arithmetic number, because the mean of its divisors is an integer number (52479).

2401677 is an apocalyptic number.

It is an amenable number.

401677 is a deficient number, since it is larger than the sum of its proper divisors (18155).

401677 is a wasteful number, since it uses less digits than its factorization.

401677 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239.

The product of its (nonzero) digits is 1176, while the sum is 25.

The square root of 401677 is about 633.7799302597. The cubic root of 401677 is about 73.7834550887.

The spelling of 401677 in words is "four hundred one thousand, six hundred seventy-seven".

Divisors: 1 41 97 101 3977 4141 9797 401677