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6406368 = 25366733
BaseRepresentation
bin11000011100000011100000
3110001110212220
4120130003200
53120000433
6345151040
7105311313
oct30340340
913043786
106406368
113686221
12218b480
131433c67
14bca97a
158682b3
hex61c0e0

6406368 has 24 divisors (see below), whose sum is σ = 16816968. Its totient is φ = 2135424.

The previous prime is 6406343. The next prime is 6406369. The reversal of 6406368 is 8636046.

It is a tau number, because it is divible by the number of its divisors (24).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6406369) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 33271 + ... + 33462.

It is an arithmetic number, because the mean of its divisors is an integer number (700707).

Almost surely, 26406368 is an apocalyptic number.

It is an amenable number.

6406368 is an abundant number, since it is smaller than the sum of its proper divisors (10410600).

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

6406368 is a wasteful number, since it uses less digits than its factorization.

6406368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66746 (or 66738 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 6406368 is about 2531.0804017257. The cubic root of 6406368 is about 185.7251113441.

The spelling of 6406368 in words is "six million, four hundred six thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 66733 133466 200199 266932 400398 533864 800796 1067728 1601592 2135456 3203184 6406368