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6340096 = 2972961
BaseRepresentation
bin11000001011111000000000
3102221002222101
4120023320000
53110340341
6343520144
7104614150
oct30137000
912832871
106340096
113640454
122159054
13140ca49
14bb0760
15853831
hex60be00

6340096 has 80 divisors (see below), whose sum is σ = 15222240. Its totient is φ = 2580480.

The previous prime is 6340069. The next prime is 6340109. The reversal of 6340096 is 6900436.

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 103906 + ... + 103966.

It is an arithmetic number, because the mean of its divisors is an integer number (190278).

Almost surely, 26340096 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 6340096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7611120).

6340096 is an abundant number, since it is smaller than the sum of its proper divisors (8882144).

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

6340096 is an equidigital number, since it uses as much as digits as its factorization.

6340096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 28.

The square root of 6340096 is about 2517.9547255660. The cubic root of 6340096 is about 185.0824662777.

The spelling of 6340096 in words is "six million, three hundred forty thousand, ninety-six".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 61 64 112 116 122 128 203 224 232 244 256 406 427 448 464 488 512 812 854 896 928 976 1624 1708 1769 1792 1856 1952 3248 3416 3538 3584 3712 3904 6496 6832 7076 7424 7808 12383 12992 13664 14152 14848 15616 24766 25984 27328 28304 31232 49532 51968 54656 56608 99064 103936 109312 113216 198128 218624 226432 396256 452864 792512 905728 1585024 3170048 6340096