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6430440 = 2335411307
BaseRepresentation
bin11000100001111011101000
3110002200220110
4120201323220
53121233230
6345454320
7105441432
oct30417350
913080813
106430440
1136a2315
1221a13a0
131441bc3
14bd5652
158704b0
hex621ee8

6430440 has 64 divisors (see below), whose sum is σ = 19776960. Its totient is φ = 1671680.

The previous prime is 6430439. The next prime is 6430441. The reversal of 6430440 is 440346.

It is an interprime number because it is at equal distance from previous prime (6430439) and next prime (6430441).

It is not an unprimeable number, because it can be changed into a prime (6430441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4267 + ... + 5573.

It is an arithmetic number, because the mean of its divisors is an integer number (309015).

Almost surely, 26430440 is an apocalyptic number.

6430440 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6430440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9888480).

6430440 is an abundant number, since it is smaller than the sum of its proper divisors (13346520).

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

6430440 is a wasteful number, since it uses less digits than its factorization.

6430440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1362 (or 1358 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 6430440 is about 2535.8312246678. The cubic root of 6430440 is about 185.9574419917.

Adding to 6430440 its reverse (440346), we get a palindrome (6870786).

The spelling of 6430440 in words is "six million, four hundred thirty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 41 60 82 120 123 164 205 246 328 410 492 615 820 984 1230 1307 1640 2460 2614 3921 4920 5228 6535 7842 10456 13070 15684 19605 26140 31368 39210 52280 53587 78420 107174 156840 160761 214348 267935 321522 428696 535870 643044 803805 1071740 1286088 1607610 2143480 3215220 6430440