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305286630 = 235112372273
BaseRepresentation
bin10010001100100…
…100110111100110
3210021110011112020
4102030210313212
51111123133010
650143204010
710364615325
oct2214446746
9707404466
10305286630
11147365400
12862a6606
134b32c19c
142c78c0bc
151bc05470
hex12324de6

305286630 has 96 divisors (see below), whose sum is σ = 827481312. Its totient is φ = 71976960.

The previous prime is 305286617. The next prime is 305286637. The reversal of 305286630 is 36682503.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 305286591 and 305286600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (305286637) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 133174 + ... + 135446.

It is an arithmetic number, because the mean of its divisors is an integer number (8619597).

Almost surely, 2305286630 is an apocalyptic number.

305286630 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 305286630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413740656).

305286630 is an abundant number, since it is smaller than the sum of its proper divisors (522194682).

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

305286630 is a wasteful number, since it uses less digits than its factorization.

305286630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2342 (or 2331 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 305286630 is about 17472.4534625221. The cubic root of 305286630 is about 673.3423467625.

The spelling of 305286630 in words is "three hundred five million, two hundred eighty-six thousand, six hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 37 55 66 74 110 111 121 165 185 222 242 330 363 370 407 555 605 726 814 1110 1210 1221 1815 2035 2273 2442 3630 4070 4477 4546 6105 6819 8954 11365 12210 13431 13638 22385 22730 25003 26862 34095 44770 50006 67155 68190 75009 84101 125015 134310 150018 168202 250030 252303 275033 375045 420505 504606 550066 750090 825099 841010 925111 1261515 1375165 1650198 1850222 2523030 2750330 2775333 4125495 4625555 5550666 8250990 9251110 10176221 13876665 20352442 27753330 30528663 50881105 61057326 101762210 152643315 305286630