[go: up one dir, main page]

Search a number
-
+
270325350 = 23552191171
BaseRepresentation
bin10000000111001…
…101011001100110
3200211122221200000
4100013031121212
51023200402400
642454002130
76461504361
oct2007153146
9624587600
10270325350
11129656489
1276646346
134400ac39
1427c8b0d8
1518aeb600
hex101cd666

270325350 has 144 divisors (see below), whose sum is σ = 793490880. Its totient is φ = 68234400.

The previous prime is 270325333. The next prime is 270325357. The reversal of 270325350 is 53523072.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (270325357) 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 71 ways as a sum of consecutive naturals, for example, 230265 + ... + 231435.

Almost surely, 2270325350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 270325350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396745440).

270325350 is an abundant number, since it is smaller than the sum of its proper divisors (523165530).

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

270325350 is a wasteful number, since it uses less digits than its factorization.

270325350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1217 (or 1200 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 27.

The square root of 270325350 is about 16441.5738297768. The cubic root of 270325350 is about 646.5899121830.

The spelling of 270325350 in words is "two hundred seventy million, three hundred twenty-five thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 19 25 27 30 38 45 50 54 57 75 81 90 95 114 135 150 162 171 190 225 243 270 285 342 405 450 475 486 513 570 675 810 855 950 1026 1171 1215 1350 1425 1539 1710 2025 2342 2430 2565 2850 3078 3513 4050 4275 4617 5130 5855 6075 7026 7695 8550 9234 10539 11710 12150 12825 15390 17565 21078 22249 23085 25650 29275 31617 35130 38475 44498 46170 52695 58550 63234 66747 76950 87825 94851 105390 111245 115425 133494 158085 175650 189702 200241 222490 230850 263475 284553 316170 333735 400482 474255 526950 556225 569106 600723 667470 790425 948510 1001205 1112450 1201446 1422765 1580850 1668675 1802169 2002410 2371275 2845530 3003615 3337350 3604338 4742550 5006025 5406507 6007230 7113825 9010845 10012050 10813014 14227650 15018075 18021690 27032535 30036150 45054225 54065070 90108450 135162675 270325350