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305113050 = 2325211531163
BaseRepresentation
bin10010001011111…
…010011111011010
3210021010100102100
4102023322133122
51111102104200
650135344230
710363263264
oct2213723732
9707110370
10305113050
11147256a50
1286222076
134b29b188
142c744b34
151bbbdd00
hex122fa7da

305113050 has 144 divisors (see below), whose sum is σ = 911914848. Its totient is φ = 72508800.

The previous prime is 305113043. The next prime is 305113087. The reversal of 305113050 is 50311503.

It is a happy number.

It is a super-4 number, since 4×3051130504 (a number of 35 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 261769 + ... + 262931.

It is an arithmetic number, because the mean of its divisors is an integer number (6332742).

Almost surely, 2305113050 is an apocalyptic number.

305113050 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 305113050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455957424).

305113050 is an abundant number, since it is smaller than the sum of its proper divisors (606801798).

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

305113050 is a wasteful number, since it uses less digits than its factorization.

305113050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1245 (or 1237 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 18.

The square root of 305113050 is about 17467.4855087960. The cubic root of 305113050 is about 673.2147061436.

Adding to 305113050 its reverse (50311503), we get a palindrome (355424553).

The spelling of 305113050 in words is "three hundred five million, one hundred thirteen thousand, fifty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 25 30 33 45 50 53 55 66 75 90 99 106 110 150 159 165 198 225 265 275 318 330 450 477 495 530 550 583 795 825 954 990 1163 1166 1325 1590 1650 1749 2326 2385 2475 2650 2915 3489 3498 3975 4770 4950 5247 5815 5830 6978 7950 8745 10467 10494 11630 11925 12793 14575 17445 17490 20934 23850 25586 26235 29075 29150 34890 38379 43725 52335 52470 58150 61639 63965 76758 87225 87450 104670 115137 123278 127930 131175 174450 184917 191895 230274 261675 262350 308195 319825 369834 383790 523350 554751 575685 616390 639650 678029 924585 959475 1109502 1151370 1356058 1540975 1849170 1918950 2034087 2773755 2878425 3081950 3390145 4068174 4622925 5547510 5756850 6102261 6780290 9245850 10170435 12204522 13868775 16950725 20340870 27737550 30511305 33901450 50852175 61022610 101704350 152556525 305113050