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482432340 = 2235135691087
BaseRepresentation
bin11100110000010…
…101010101010100
31020121210002202110
4130300111111110
51442000313330
6115512111020
714645415165
oct3460252524
91217702673
10482432340
11228358615
12115695470
1378c43b30
144810176c
152c547db0
hex1cc15554

482432340 has 96 divisors (see below), whose sum is σ = 1458616320. Its totient is φ = 118434816.

The previous prime is 482432339. The next prime is 482432359. The reversal of 482432340 is 43234284.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 482432298 and 482432307.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 443277 + ... + 444363.

It is an arithmetic number, because the mean of its divisors is an integer number (15193920).

Almost surely, 2482432340 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 482432340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729308160).

482432340 is an abundant number, since it is smaller than the sum of its proper divisors (976183980).

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

482432340 is a wasteful number, since it uses less digits than its factorization.

482432340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1681 (or 1679 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The square root of 482432340 is about 21964.3424668256. The cubic root of 482432340 is about 784.2938407268.

The spelling of 482432340 in words is "four hundred eighty-two million, four hundred thirty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 569 780 1087 1138 1707 2174 2276 2845 3261 3414 4348 5435 5690 6522 6828 7397 8535 10870 11380 13044 14131 14794 16305 17070 21740 22191 28262 29588 32610 34140 36985 42393 44382 56524 65220 70655 73970 84786 88764 110955 141310 147940 169572 211965 221910 282620 423930 443820 618503 847860 1237006 1855509 2474012 3092515 3711018 6185030 7422036 8040539 9277545 12370060 16081078 18555090 24121617 32162156 37110180 40202695 48243234 80405390 96486468 120608085 160810780 241216170 482432340