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401320404 = 2232471132099
BaseRepresentation
bin10111111010111…
…010100111010100
31000222011012002200
4113322322213110
51310214223104
6103453404500
712642111222
oct2772724724
91028135080
10401320404
11196597a61
12b2499730
13651b45c4
143b429b12
1525374b39
hex17eba9d4

401320404 has 72 divisors (see below), whose sum is σ = 1045699200. Its totient is φ = 129706752.

The previous prime is 401320393. The next prime is 401320427. The reversal of 401320404 is 404023104.

It is a super-2 number, since 2×4013204042 = 322116133333446432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 190147 + ... + 192245.

It is an arithmetic number, because the mean of its divisors is an integer number (14523600).

Almost surely, 2401320404 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 401320404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522849600).

401320404 is an abundant number, since it is smaller than the sum of its proper divisors (644378796).

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

401320404 is a wasteful number, since it uses less digits than its factorization.

401320404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2269 (or 2264 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 401320404 is about 20032.9829032024. The cubic root of 401320404 is about 737.6161442669.

Adding to 401320404 its reverse (404023104), we get a palindrome (805343508).

The spelling of 401320404 in words is "four hundred one million, three hundred twenty thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 47 94 113 141 188 226 282 339 423 452 564 678 846 1017 1356 1692 2034 2099 4068 4198 5311 6297 8396 10622 12594 15933 18891 21244 25188 31866 37782 47799 63732 75564 95598 98653 191196 197306 237187 295959 394612 474374 591918 711561 887877 948748 1183836 1423122 1775754 2134683 2846244 3551508 4269366 8538732 11147789 22295578 33443367 44591156 66886734 100330101 133773468 200660202 401320404