Search a number
-
+
350842284 = 223213672167
BaseRepresentation
bin10100111010010…
…110110110101100
3220110011122010200
4110322112312230
51204303423114
654451433500
711460052542
oct2472266654
9813148120
10350842284
11170050001
12995b5890
13578bc6b0
1434849d92
1520c03409
hex14e96dac

350842284 has 108 divisors (see below), whose sum is σ = 975343824. Its totient is φ = 105703488.

The previous prime is 350842279. The next prime is 350842321. The reversal of 350842284 is 482248053.

350842284 is a `hidden beast` number, since 350 + 84 + 228 + 4 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2100769 + ... + 2100935.

Almost surely, 2350842284 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 350842284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487671912).

350842284 is an abundant number, since it is smaller than the sum of its proper divisors (624501540).

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

350842284 is a wasteful number, since it uses less digits than its factorization.

350842284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 350842284 is about 18730.7843936126. The cubic root of 350842284 is about 705.2947371825.

The spelling of 350842284 in words is "three hundred fifty million, eight hundred forty-two thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 67 78 117 134 156 167 201 234 268 334 402 468 501 603 668 804 871 1002 1206 1503 1742 2004 2171 2412 2613 3006 3484 4342 4489 5226 6012 6513 7839 8684 8978 10452 11189 13026 13467 15678 17956 19539 22378 26052 26934 31356 33567 39078 40401 44756 53868 58357 67134 78156 80802 100701 116714 134268 145457 161604 175071 201402 233428 290914 350142 402804 436371 525213 581828 700284 749663 872742 1050426 1309113 1499326 1745484 2100852 2248989 2618226 2998652 4497978 5236452 6746967 8995956 9745619 13493934 19491238 26987868 29236857 38982476 58473714 87710571 116947428 175421142 350842284