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6430124304 = 2433103114437
BaseRepresentation
bin1011111110100001…
…11110100100010000
3121121010102011022000
411333100332210100
5101132102434204
62542015514000
7315226104042
oct57720764420
917533364260
106430124304
1127aa70161a
1212b5528900
137b6226aa6
1444ddb5a92
1527979c039
hex17f43e910

6430124304 has 80 divisors (see below), whose sum is σ = 18476019840. Its totient is φ = 2141147520.

The previous prime is 6430124269. The next prime is 6430124339. The reversal of 6430124304 is 4034210346.

6430124304 is a `hidden beast` number, since 643 + 0 + 12 + 4 + 3 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (6430124269) and next prime (6430124339).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 438174 + ... + 452610.

It is an arithmetic number, because the mean of its divisors is an integer number (230950248).

Almost surely, 26430124304 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 6430124304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9238009920).

6430124304 is an abundant number, since it is smaller than the sum of its proper divisors (12045895536).

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

6430124304 is a wasteful number, since it uses less digits than its factorization.

6430124304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15485 (or 15473 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 6430124304 is about 80188.0558686891. The cubic root of 6430124304 is about 1859.5439881057.

The spelling of 6430124304 in words is "six billion, four hundred thirty million, one hundred twenty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 1031 2062 3093 4124 6186 8248 9279 12372 14437 16496 18558 24744 27837 28874 37116 43311 49488 55674 57748 74232 86622 111348 115496 129933 148464 173244 222696 230992 259866 346488 389799 445392 519732 692976 779598 1039464 1559196 2078928 3118392 6236784 14884547 29769094 44653641 59538188 89307282 119076376 133960923 178614564 238152752 267921846 357229128 401882769 535843692 714458256 803765538 1071687384 1607531076 2143374768 3215062152 6430124304