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6430968 = 2333191567
BaseRepresentation
bin11000100010000011111000
3110002201122000
4120202003320
53121242333
6345501000
7105443115
oct30420370
913081560
106430968
1136a2755
1221a1760
13144220b
14bd590c
15870713
hex6220f8

6430968 has 64 divisors (see below), whose sum is σ = 18816000. Its totient is φ = 2029536.

The previous prime is 6430937. The next prime is 6430969. The reversal of 6430968 is 8690346.

6430968 is a `hidden beast` number, since 643 + 0 + 9 + 6 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6430969) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3321 + ... + 4887.

It is an arithmetic number, because the mean of its divisors is an integer number (294000).

Almost surely, 26430968 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 6430968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9408000).

6430968 is an abundant number, since it is smaller than the sum of its proper divisors (12385032).

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

6430968 is a wasteful number, since it uses less digits than its factorization.

6430968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1601 (or 1591 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 6430968 is about 2535.9353304057. The cubic root of 6430968 is about 185.9625314746.

The spelling of 6430968 in words is "six million, four hundred thirty thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 108 114 152 171 216 228 342 456 513 684 1026 1368 1567 2052 3134 4104 4701 6268 9402 12536 14103 18804 28206 29773 37608 42309 56412 59546 84618 89319 112824 119092 169236 178638 238184 267957 338472 357276 535914 714552 803871 1071828 1607742 2143656 3215484 6430968