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6404320 = 255133079
BaseRepresentation
bin11000011011100011100000
3110001101002001
4120123203200
53114414240
6345133344
7105302326
oct30334340
913041061
106404320
11368472a
12218a254
131433050
14bc9d16
1586789a
hex61b8e0

6404320 has 48 divisors (see below), whose sum is σ = 16299360. Its totient is φ = 2363904.

The previous prime is 6404317. The next prime is 6404341. The reversal of 6404320 is 234046.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 541 + ... + 3619.

It is an arithmetic number, because the mean of its divisors is an integer number (339570).

Almost surely, 26404320 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 6404320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8149680).

6404320 is an abundant number, since it is smaller than the sum of its proper divisors (9895040).

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

6404320 is a wasteful number, since it uses less digits than its factorization.

6404320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3107 (or 3099 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 6404320 is about 2530.6757990703. The cubic root of 6404320 is about 185.7053182483.

Adding to 6404320 its reverse (234046), we get a palindrome (6638366).

It can be divided in two parts, 6404 and 320, that added together give a square (6724 = 822).

The spelling of 6404320 in words is "six million, four hundred four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 2080 3079 6158 12316 15395 24632 30790 40027 49264 61580 80054 98528 123160 160108 200135 246320 320216 400270 492640 640432 800540 1280864 1601080 3202160 6404320