Search a number
-
+
301020030 = 23353173517
BaseRepresentation
bin10001111100010…
…011001101111110
3202222102101212000
4101330103031332
51104030120110
645511523130
710313425263
oct2174231576
9688371760
10301020030
11144a10893
12849894a6
134a49717c
142bd9b26a
151b6611c0
hex11f1337e

301020030 has 64 divisors (see below), whose sum is σ = 805481280. Its totient is φ = 79996032.

The previous prime is 301020023. The next prime is 301020043. The reversal of 301020030 is 30020103.

It is a happy number.

It is a super-2 number, since 2×3010200302 = 181226116922401800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 301019994 and 301020021.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 83832 + ... + 87348.

It is an arithmetic number, because the mean of its divisors is an integer number (12585645).

Almost surely, 2301020030 is an apocalyptic number.

301020030 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 301020030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402740640).

301020030 is an abundant number, since it is smaller than the sum of its proper divisors (504461250).

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

301020030 is a wasteful number, since it uses less digits than its factorization.

301020030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3850 (or 3844 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 301020030 is about 17349.9288182978. The cubic root of 301020030 is about 670.1908047940.

Adding to 301020030 its reverse (30020103), we get a palindrome (331040133).

The spelling of 301020030 in words is "three hundred one million, twenty thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 317 634 951 1585 1902 2853 3170 3517 4755 5706 7034 8559 9510 10551 14265 17118 17585 21102 28530 31653 35170 42795 52755 63306 85590 94959 105510 158265 189918 316530 474795 949590 1114889 2229778 3344667 5574445 6689334 10034001 11148890 16723335 20068002 30102003 33446670 50170005 60204006 100340010 150510015 301020030