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6379344 = 243314767
BaseRepresentation
bin11000010101011101010000
3110000002211000
4120111131100
53113114334
6344422000
7105136446
oct30253520
913002730
106379344
113667994
122177900
13142487a
14bc0b96
15860299
hex615750

6379344 has 40 divisors (see below), whose sum is σ = 18312320. Its totient is φ = 2126304.

The previous prime is 6379327. The next prime is 6379379. The reversal of 6379344 is 4439736.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 62 + 313 + 7 + 93 + 314 + 44 + 45 .

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 6379299 and 6379308.

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, 6952 + ... + 7815.

It is an arithmetic number, because the mean of its divisors is an integer number (457808).

Almost surely, 26379344 is an apocalyptic number.

It is an amenable number.

6379344 is an abundant number, since it is smaller than the sum of its proper divisors (11932976).

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

6379344 is a wasteful number, since it uses less digits than its factorization.

6379344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14784 (or 14772 counting only the distinct ones).

The product of its digits is 54432, while the sum is 36.

The square root of 6379344 is about 2525.7363282813. The cubic root of 6379344 is about 185.4635950287.

The spelling of 6379344 in words is "six million, three hundred seventy-nine thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 14767 29534 44301 59068 88602 118136 132903 177204 236272 265806 354408 398709 531612 708816 797418 1063224 1594836 2126448 3189672 6379344