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2430423440 = 24537821089
BaseRepresentation
bin1001000011011101…
…0101000110010000
320021101021022011222
42100313111012100
514434142022230
61041100224212
7114141154424
oct22067250620
96241238158
102430423440
111037a02115
12579b3b068
132c96ab5a3
14190adcb84
15e35856e5
hex90dd5190

2430423440 has 40 divisors (see below), whose sum is σ = 5803464120. Its totient is φ = 945893376.

The previous prime is 2430423419. The next prime is 2430423449. The reversal of 2430423440 is 443240342.

It can be written as a sum of positive squares in 4 ways, for example, as 137545984 + 2292877456 = 11728^2 + 47884^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (2430423449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 407585 + ... + 413504.

It is an arithmetic number, because the mean of its divisors is an integer number (145086603).

Almost surely, 22430423440 is an apocalyptic number.

2430423440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2430423440 is an abundant number, since it is smaller than the sum of its proper divisors (3373040680).

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

2430423440 is a wasteful number, since it uses less digits than its factorization.

2430423440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821139 (or 821133 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 26.

The square root of 2430423440 is about 49299.3249446684. The cubic root of 2430423440 is about 1344.4995102146.

Adding to 2430423440 its reverse (443240342), we get a palindrome (2873663782).

The spelling of 2430423440 in words is "two billion, four hundred thirty million, four hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 296 370 592 740 1480 2960 821089 1642178 3284356 4105445 6568712 8210890 13137424 16421780 30380293 32843560 60760586 65687120 121521172 151901465 243042344 303802930 486084688 607605860 1215211720 2430423440