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6404424 = 2331321579
BaseRepresentation
bin11000011011100101001000
3110001101012220
4120123211020
53114420144
6345134040
7105302535
oct30334510
913041186
106404424
113684814
12218a320
131433100
14bc9d8c
15867919
hex61b948

6404424 has 48 divisors (see below), whose sum is σ = 17348400. Its totient is φ = 1969344.

The previous prime is 6404407. The next prime is 6404449. The reversal of 6404424 is 4244046.

6404424 = T107 + T108 + ... + T340.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 6404394 and 6404403.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3267 + ... + 4845.

It is an arithmetic number, because the mean of its divisors is an integer number (361425).

Almost surely, 26404424 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 6404424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8674200).

6404424 is an abundant number, since it is smaller than the sum of its proper divisors (10943976).

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

6404424 is a wasteful number, since it uses less digits than its factorization.

6404424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1614 (or 1597 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 6404424 is about 2530.6963468579. The cubic root of 6404424 is about 185.7063234682.

The spelling of 6404424 in words is "six million, four hundred four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 169 312 338 507 676 1014 1352 1579 2028 3158 4056 4737 6316 9474 12632 18948 20527 37896 41054 61581 82108 123162 164216 246324 266851 492648 533702 800553 1067404 1601106 2134808 3202212 6404424