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401433104 = 24171917727
BaseRepresentation
bin10111111011010…
…110001000010000
31000222100220200202
4113323112020100
51310231324404
6103500034332
712643060622
oct2773261020
91028326622
10401433104
111966646a6
12b25329a8
13652239a7
143b458c12
152539821e
hex17ed6210

401433104 has 40 divisors (see below), whose sum is σ = 827947008. Its totient is φ = 187896320.

The previous prime is 401433103. The next prime is 401433163. The reversal of 401433104 is 401334104.

It is a happy number.

It is a super-2 number, since 2×4014331042 = 322297073974149632, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (401433101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48089 + ... + 55815.

Almost surely, 2401433104 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 401433104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413973504).

401433104 is an abundant number, since it is smaller than the sum of its proper divisors (426513904).

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

401433104 is a wasteful number, since it uses less digits than its factorization.

401433104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7943 (or 7937 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 401433104 is about 20035.7955669347. The cubic root of 401433104 is about 737.6851843309.

Adding to 401433104 its reverse (401334104), we get a palindrome (802767208).

The spelling of 401433104 in words is "four hundred one million, four hundred thirty-three thousand, one hundred four".

Divisors: 1 2 4 8 16 17 34 68 136 191 272 382 764 1528 3056 3247 6494 7727 12988 15454 25976 30908 51952 61816 123632 131359 262718 525436 1050872 1475857 2101744 2951714 5903428 11806856 23613712 25089569 50179138 100358276 200716552 401433104