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6404664 = 233767569
BaseRepresentation
bin11000011011101000111000
3110001101112210
4120123220320
53114422124
6345135120
7105303330
oct30335070
913041483
106404664
113684a12
12218a4a0
131433256
14bca0c0
15867a29
hex61ba38

6404664 has 64 divisors (see below), whose sum is σ = 18604800. Its totient is φ = 1799424.

The previous prime is 6404659. The next prime is 6404669. The reversal of 6404664 is 4664046.

It is an interprime number because it is at equal distance from previous prime (6404659) and next prime (6404669).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6404669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10972 + ... + 11540.

It is an arithmetic number, because the mean of its divisors is an integer number (290700).

Almost surely, 26404664 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 6404664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9302400).

6404664 is an abundant number, since it is smaller than the sum of its proper divisors (12200136).

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

6404664 is a wasteful number, since it uses less digits than its factorization.

6404664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 6404664 is about 2530.7437641927. The cubic root of 6404664 is about 185.7086431647.

The spelling of 6404664 in words is "six million, four hundred four thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 67 84 134 168 201 268 402 469 536 569 804 938 1138 1407 1608 1707 1876 2276 2814 3414 3752 3983 4552 5628 6828 7966 11256 11949 13656 15932 23898 31864 38123 47796 76246 95592 114369 152492 228738 266861 304984 457476 533722 800583 914952 1067444 1601166 2134888 3202332 6404664