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401676 = 2231117179
BaseRepresentation
bin1100010000100001100
3202101222220
41202010030
5100323201
612335340
73262032
oct1420414
9671886
10401676
11254870
12174550
13110aa2
14a6552
157e036
hex6210c

401676 has 48 divisors (see below), whose sum is σ = 1088640. Its totient is φ = 113920.

The previous prime is 401671. The next prime is 401689. The reversal of 401676 is 676104.

It is a super-2 number, since 2×4016762 = 322687217952, which contains 22 as substring.

It is a nialpdrome in base 14.

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

401676 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2155 + ... + 2333.

It is an arithmetic number, because the mean of its divisors is an integer number (22680).

2401676 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544320).

401676 is an abundant number, since it is smaller than the sum of its proper divisors (686964).

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

401676 is a wasteful number, since it uses less digits than its factorization.

401676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 401676 is about 633.7791413418. The cubic root of 401676 is about 73.7833938591.

The spelling of 401676 in words is "four hundred one thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 132 179 187 204 358 374 537 561 716 748 1074 1122 1969 2148 2244 3043 3938 5907 6086 7876 9129 11814 12172 18258 23628 33473 36516 66946 100419 133892 200838 401676