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401308641 = 33293971291
BaseRepresentation
bin10111111010110…
…111101111100001
31000222010120222000
4113322313233201
51310213334031
6103453234213
712642032016
oct2772675741
91028116860
10401308641
1119658a138
12b2492969
13651ac146
143b42570d
15253713e6
hex17eb7be1

401308641 has 32 divisors (see below), whose sum is σ = 617059200. Its totient is φ = 257463360.

The previous prime is 401308639. The next prime is 401308643. The reversal of 401308641 is 146803104.

401308641 is a `hidden beast` number, since 4 + 0 + 13 + 0 + 8 + 641 = 666.

It is an interprime number because it is at equal distance from previous prime (401308639) and next prime (401308643).

It is not a de Polignac number, because 401308641 - 21 = 401308639 is a prime.

It is a super-2 number, since 2×4013086412 = 322097250682533762, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (401308643) 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, 310206 + ... + 311496.

It is an arithmetic number, because the mean of its divisors is an integer number (19283100).

Almost surely, 2401308641 is an apocalyptic number.

It is an amenable number.

401308641 is a deficient number, since it is larger than the sum of its proper divisors (215750559).

401308641 is a wasteful number, since it uses less digits than its factorization.

401308641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1726 (or 1720 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 401308641 is about 20032.6893102249. The cubic root of 401308641 is about 737.6089375036.

The spelling of 401308641 in words is "four hundred one million, three hundred eight thousand, six hundred forty-one".

Divisors: 1 3 9 27 29 87 261 397 783 1191 1291 3573 3873 10719 11513 11619 34539 34857 37439 103617 112317 310851 336951 512527 1010853 1537581 4612743 13838229 14863283 44589849 133769547 401308641