Search a number
-
+
350632100 = 225271353727
BaseRepresentation
bin10100111001100…
…011100010100100
3220102202221211002
4110321203202210
51204230211400
654443132432
711455216010
oct2471434244
9812687732
10350632100
1116aa170a5
1299514118
1357847b20
14347d3540
1520bb0ed5
hex14e638a4

350632100 has 144 divisors (see below), whose sum is σ = 955438848. Its totient is φ = 108725760.

The previous prime is 350632097. The next prime is 350632109. The reversal of 350632100 is 1236053.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (350632109) 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 47 ways as a sum of consecutive naturals, for example, 481937 + ... + 482663.

It is an arithmetic number, because the mean of its divisors is an integer number (6634992).

Almost surely, 2350632100 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 350632100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477719424).

350632100 is an abundant number, since it is smaller than the sum of its proper divisors (604806748).

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

350632100 is a wasteful number, since it uses less digits than its factorization.

350632100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

The square root of 350632100 is about 18725.1728963980. The cubic root of 350632100 is about 705.1538654492.

Adding to 350632100 its reverse (1236053), we get a palindrome (351868153).

The spelling of 350632100 in words is "three hundred fifty million, six hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 50 52 53 65 70 91 100 106 130 140 175 182 212 260 265 325 350 364 371 455 530 650 689 700 727 742 910 1060 1300 1325 1378 1454 1484 1820 1855 2275 2650 2756 2908 3445 3635 3710 4550 4823 5089 5300 6890 7270 7420 9100 9275 9451 9646 10178 13780 14540 17225 18175 18550 18902 19292 20356 24115 25445 34450 36350 37100 37804 38531 47255 48230 50890 66157 68900 72700 77062 94510 96460 101780 120575 127225 132314 154124 189020 192655 236275 241150 254450 264628 269717 330785 385310 472550 482300 500903 508900 539434 661570 770620 945100 963275 1001806 1078868 1323140 1348585 1653925 1926550 2003612 2504515 2697170 3307850 3506321 3853100 5009030 5394340 6615700 6742925 7012642 10018060 12522575 13485850 14025284 17531605 25045150 26971700 35063210 50090300 70126420 87658025 175316050 350632100