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401324224 = 267895813
BaseRepresentation
bin10111111010111…
…011100011000000
31000222011101100011
4113322323203000
51310214333344
6103453434304
712642125320
oct2772734300
91028141304
10401324224
1119659a914
12b249b994
13651b6272
143b42b280
1525375d34
hex17ebb8c0

401324224 has 28 divisors (see below), whose sum is σ = 910147024. Its totient is φ = 171995904.

The previous prime is 401324221. The next prime is 401324257. The reversal of 401324224 is 422423104.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (28).

It is a super-2 number, since 2×4013242242 = 322122265538404352, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 401324195 and 401324204.

It is not an unprimeable number, because it can be changed into a prime (401324221) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 447459 + ... + 448354.

Almost surely, 2401324224 is an apocalyptic number.

It is an amenable number.

401324224 is an abundant number, since it is smaller than the sum of its proper divisors (508822800).

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

401324224 is an equidigital number, since it uses as much as digits as its factorization.

401324224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 895832 (or 895822 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 401324224 is about 20033.0782457415. The cubic root of 401324224 is about 737.6184846120.

Adding to 401324224 its reverse (422423104), we get a palindrome (823747328).

The spelling of 401324224 in words is "four hundred one million, three hundred twenty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 895813 1791626 3583252 6270691 7166504 12541382 14333008 25082764 28666016 50165528 57332032 100331056 200662112 401324224