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6404104 = 237217312
BaseRepresentation
bin11000011011100000001000
3110001100210001
4120123200020
53114412404
6345132344
7105301600
oct30334010
913040701
106404104
113684553
12218a0b4
131432c15
14bc9c00
158677a4
hex61b808

6404104 has 72 divisors (see below), whose sum is σ = 15282270. Its totient is φ = 2499840.

The previous prime is 6404089. The next prime is 6404117. The reversal of 6404104 is 4014046.

It can be written as a sum of positive squares in only one way, i.e., 4708900 + 1695204 = 2170^2 + 1302^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 206569 + ... + 206599.

Almost surely, 26404104 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 6404104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7641135).

6404104 is an abundant number, since it is smaller than the sum of its proper divisors (8878166).

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

6404104 is a wasteful number, since it uses less digits than its factorization.

6404104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 6404104 is about 2530.6331223629. The cubic root of 6404104 is about 185.7032304493.

The spelling of 6404104 in words is "six million, four hundred four thousand, one hundred four".

Divisors: 1 2 4 7 8 14 17 28 31 34 49 56 62 68 98 119 124 136 196 217 238 248 392 434 476 527 833 868 952 961 1054 1519 1666 1736 1922 2108 3038 3332 3689 3844 4216 6076 6664 6727 7378 7688 12152 13454 14756 16337 25823 26908 29512 32674 47089 51646 53816 65348 94178 103292 114359 130696 188356 206584 228718 376712 457436 800513 914872 1601026 3202052 6404104