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6340640 = 255231723
BaseRepresentation
bin11000001100000000100000
3102221010201112
4120030000200
53110400030
6343522452
7104615555
oct30140040
912833645
106340640
1136408a9
122159428
131410077
14bb0a2c
15853a95
hex60c020

6340640 has 48 divisors (see below), whose sum is σ = 15640128. Its totient is φ = 2424576.

The previous prime is 6340637. The next prime is 6340657. The reversal of 6340640 is 460436.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2819 + ... + 4541.

It is an arithmetic number, because the mean of its divisors is an integer number (325836).

Almost surely, 26340640 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 6340640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7820064).

6340640 is an abundant number, since it is smaller than the sum of its proper divisors (9299488).

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

6340640 is a wasteful number, since it uses less digits than its factorization.

6340640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1761 (or 1753 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 6340640 is about 2518.0627474310. The cubic root of 6340640 is about 185.0877596771.

The spelling of 6340640 in words is "six million, three hundred forty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 80 92 115 160 184 230 368 460 736 920 1723 1840 3446 3680 6892 8615 13784 17230 27568 34460 39629 55136 68920 79258 137840 158516 198145 275680 317032 396290 634064 792580 1268128 1585160 3170320 6340640