Search a number
-
+
630282345 = 357211219373
BaseRepresentation
bin100101100100010…
…101100001101001
31121220222122211120
4211210111201221
52242323013340
6142313045453
721422211600
oct4544254151
91556878746
10630282345
112a3861500
121570b6889
13a076c244
145d9caa37
153a5004d0
hex25915869

630282345 has 144 divisors (see below), whose sum is σ = 1360941120. Its totient is φ = 247484160.

The previous prime is 630282343. The next prime is 630282349. The reversal of 630282345 is 543282036.

It is a happy number.

It is not a de Polignac number, because 630282345 - 21 = 630282343 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (630282343) 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 143 ways as a sum of consecutive naturals, for example, 1689579 + ... + 1689951.

It is an arithmetic number, because the mean of its divisors is an integer number (9450980).

Almost surely, 2630282345 is an apocalyptic number.

It is an amenable number.

630282345 is an abundant number, since it is smaller than the sum of its proper divisors (730658775).

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

630282345 is a wasteful number, since it uses less digits than its factorization.

630282345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 630282345 is about 25105.4246130194. The cubic root of 630282345 is about 857.3899345055.

The spelling of 630282345 in words is "six hundred thirty million, two hundred eighty-two thousand, three hundred forty-five".

Divisors: 1 3 5 7 11 15 19 21 33 35 49 55 57 77 95 105 121 133 147 165 209 231 245 285 363 373 385 399 539 605 627 665 735 847 931 1045 1119 1155 1463 1617 1815 1865 1995 2299 2541 2611 2695 2793 3135 4103 4235 4389 4655 5595 5929 6897 7087 7315 7833 8085 10241 11495 12309 12705 13055 13965 16093 17787 18277 20515 21261 21945 28721 29645 30723 34485 35435 39165 45133 48279 49609 51205 54831 61545 77957 80465 86163 88935 91385 106305 112651 135399 143605 148827 153615 201047 225665 233871 241395 248045 274155 315931 337953 347263 389785 430815 545699 563255 603141 676995 744135 857527 947793 1005235 1041789 1169355 1579655 1637097 1689765 1736315 2211517 2572581 2728495 3015705 3819893 4287635 4738965 5208945 6002689 6634551 8185485 11057585 11459679 12862905 18008067 19099465 30013445 33172755 42018823 57298395 90040335 126056469 210094115 630282345